Is fortune telling allowed in temples?

No. Fortune telling, astrology, palmistry, divination etc. are considered to be "animal" arts by the Buddha, which is forbidden to monks in DN 2 (quoted below).

From DN 2:

"Whereas some contemplatives & brahmans, living off food given in faith, maintain themselves by wrong livelihood, by such "animal" arts as: reading marks on the limbs [e.g., palmistry]; reading omens and signs; interpreting celestial events [falling stars, comets]; interpreting dreams; reading features of the body [e.g., phrenology]; reading marks on cloth gnawed by mice; offering fire oblations, oblations from a ladle, oblations of husks, rice powder, rice grains, ghee, and oil; offering oblations from the mouth; offering blood-sacrifices; making predictions based on the fingertips; geomancy; making predictions for state officials; laying demons in a cemetery; placing spells on spirits; earth-skills [divining water and gems?]; snake-skills, poison-skills, scorpion-skills, rat-skills, bird-skills, crow-skills; predicting life spans; giving protective charms; casting horoscopes — he abstains from wrong livelihood, from "animal" arts such as these.

"Whereas some contemplatives & brahmans, living off food given in faith, maintain themselves by wrong livelihood, by such "animal" arts as: determining lucky and unlucky gems, staffs, garments, swords, arrows, bows, and other weapons; women, men, boys, girls, male slaves, female slaves; elephants, horses, buffaloes, bulls, cows, goats, rams, fowl, quails, lizards, rabbits, tortoises, and other animals — he abstains from wrong livelihood, from "animal" arts such as these.

"Whereas some contemplatives & brahmans, living off food given in faith, maintain themselves by wrong livelihood, by such "animal" arts as [forecasting]: the rulers will march forth; the rulers will not march forth; our rulers will attack, and their rulers will retreat; their rulers will attack, and our rulers will retreat; there will be triumph for our rulers and defeat for their rulers; there will be triumph for their rulers and defeat for our rulers; thus there will be triumph this one, defeat for that one — he abstains from wrong livelihood, from "animal" arts such as these.

"Whereas some contemplatives & brahmans, living off food given in faith, maintain themselves by wrong livelihood, by such "animal" arts as [forecasting]: there will be a lunar eclipse; there will be a solar eclipse; there will be an occultation of [a conjunction of the moon or a planet with] an asterism; the sun and moon will be favorable; the sun and moon will be unfavorable; the asterisms will be favorable; the asterisms will be unfavorable; there will be a meteor shower; there will be a flickering light on the horizon [an aurora?]; there will be an earthquake; there will be thunder coming from dry clouds; there will be a rising, a setting, a darkening, a brightening of the sun, moon, and asterisms; such will be the result of the lunar eclipse ... the rising, setting, darkening, brightening of the sun, moon, and asterisms — he abstains from wrong livelihood, from "animal" arts such as these.

"Whereas some contemplatives & brahmans, living off food given in faith, maintain themselves by wrong livelihood, by such "animal" arts as [forecasting]: there will be abundant rain; there will be a drought; there will be plenty; there will be famine; there will be rest and security; there will be danger; there will be disease; there will be freedom from disease; or they earn their living by accounting, counting, calculation, composing poetry, or teaching hedonistic arts and doctrines [lokāyata] — he abstains from wrong livelihood, from "animal" arts such as these.

"Whereas some contemplatives & brahmans, living off food given in faith, maintain themselves by wrong livelihood, by such "animal" arts as: calculating auspicious dates for marriages — both those in which the bride is brought home and those in which she is sent out; calculating auspicious dates for betrothals and divorces; for collecting debts or making investments and loans; reciting charms to make people attractive or unattractive; curing women who have undergone miscarriages or abortions; reciting spells to bind a man's tongue, to paralyze his jaws, to make him lose control over his hands, or to bring on deafness; getting oracular answers to questions addressed to a spirit in a mirror, in a young girl, or to a spirit medium; worshipping the sun, worshipping the Great Brahmā, bringing forth flames from the mouth, invoking the goddess of luck — he abstains from wrong livelihood, from "animal" arts such as these.

"Whereas some contemplatives & brahmans, living off food given in faith, maintain themselves by wrong livelihood, by such "animal" arts as: promising gifts to deities in return for favors; fulfilling such promises; demonology; reciting spells in earth houses [see earth skills, above]; inducing virility and impotence; preparing sites for construction; consecrating sites for construction; giving ceremonial mouthwashes and ceremonial baths; offering sacrificial fires; administering emetics, purges, purges from above, purges from below, head-purges; ear-oil, eye-drops, treatments through the nose, ointments, and counter-ointments; practicing eye-surgery [or: extractive surgery], general surgery, pediatrics; administering root-medicines and binding medicinal herbs — he abstains from wrong livelihood, from "animal" arts such as these. This, too, is part of his virtue."

"A monk thus consummate in virtue sees no danger anywhere from his restraint through virtue. Just as a head-anointed noble warrior king who has defeated his enemies sees no danger anywhere from his enemies, in the same way the monk thus consummate in virtue sees no danger anywhere from his restraint through virtue. Endowed with this noble aggregate of virtue, he is inwardly sensitive to the pleasure of being blameless. This is how a monk is consummate in virtue.