Is it possible to obtain a temporary residence card within a month or two? Can the waiting period for this document be shortened?

The length of the procedure for granting a temporary residence permit depends on fulfilment of all formal requirements including providing fingerprints and whether documents confirming the fulfillment of all conditions for granting the permit are attached.

In the case of applications for a temporary residence permit for the purpose of studies, you should pay attention to update the current documents from the university on an ongoing basis - in the case of promotion for the next semester of studies, you can send a current certificate confirming the student's status at the next semester, a copy of the evaluation card for the current one together with confirmation of payment of all tuitions fees for the next semester.