can i still have a bright future if i study in local engineering colleges for cs
See, if we talk about top engineering branches, especially for the Computer Science branch, then opportunities are no longer limited to prestigious engineering colleges only.
These days top companies, like Google, Apple, etc, only demand that you should have a nice coding background and should solve all the questions asked in the interview. It does not matter anymore to them that from which college you belong. So, you should focus on coding and improving your profile by solving questions on Leetcode, Codechef and try to increase your coding aptitude. If you do all this, you will definitely have a bright future.