Yes, it is possible for you to buy a apartment, but you have to pay cash, because hardly any bank would approve you a mortage loan.
Very simple one bedroom or studio near Polytechnic University you can check using the link below. Prices in rubles, footage in square meters.

http://emls.ru/flats/?query=s/1/r1/1/r2/1/place/address/reg/2/dept/2/tr[]/19/sort1/1/dir1/2/sort2/3/dir2/1/interval/3