I have got 160528 rank in JEE Mains. Can I get admission in a good engineering college other than NITs and IITs?

Yes, you will get good engineering colleges in your locality or in your state. Try JEE college predictor to get more information and insight about college & branch which you can get on the basis of your rank- https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=connect&utm