بسم الله الرحمن الرحيم
If this college falls in the boundary of Vijayawada, then performing Jumuah salah in the college will be valid. But, if it is not in the boundary of the city rather in a village, then Jumuah will not be valid therein and you should perform Zuhr with jamat.
In order to know whether it falls in the boundary of the city, you should consult any nearby alim or mufti graduated from Darul Uloom Deoband, he may tell you after survey whether the college is in the boundary of the city or not. Or he will contact us after making a survey.
A mosque is not necessary for performing Jumuah salah, but it is necessary that the place is either a city, outskirts of a city or big village. It is mentioned in details in Fatawa Shami.
Allah knows Best!
Darul Uloom Deoband