Hi there. 

Yes. Obviously! 

All you need to do is crack the entrance examination of particular University. 

To talk specifically about, IIT- Bombay, you need to crack the JEE advance examinations to make sure to get into your desired college. 

Your belonging to Uttar Pradesh won't matter if you clear the entrance examination of a particular college/University. 

Please refer to the following link for more information: 

https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-2019/amp

Good luck!