Upvote:1
Highly unlikely.
Schengen rules state that only applications from persons who reside legally in the jurisdiction of the competent consulate should be accepted. However, an application may be accepted from a person legally present – but not residing - in the jurisdiction of the consulate where the application is submitted, if he can justify why the application could not be lodged at a consulate in his place of residence. It is for the consulate to appreciate whether the justification presented by the applicant is acceptable.
‘I couldn’t get an appointment at a Consulate in my place of residence’ probably won’t be accepted as reasonable justification.