Upvote:2
No.
Flights between Schengen countries are regarded as domestic flights, so there will not be any stamp. In fact, you may even not be controlled at all.
Upvote:6
No, you will not pass through the systematic passport check when flying between Schengen countries, and you will not get passport stamps at either end of the flights.
In some, more-or-less exceptional, situation you may encounter "extraordinary" passport checks in or between the Schengen countries. Even if you run into such a check, you are not crossing the external Schengen border, so you wont't get a stamp (falsely) claiming you have done so.