Well yes if you scored well enough in aeee to get through with cut off scores you can definitely get in , for amritapuri campus  you will get state quota benefit , state quota cut off rank for amritapuri for cse ranges between 8k-16k and for me 11k-17k(acc to previous years analysis which is subjective depending upon current years level of difficulty of paper no of applicants etc) for coimbatore you will be considered for open state quota for which cut off for cse goes between 800-1500 and for mechanical from 2000-3000.

also you can use following tool to predict which colleges you can get with your aeee score https://engineering.careers360.com/aeee-college-predictor?icn=AEEE_clgpd&ici=AEEE_article_contmap