Hello,
Yes you can get an admission at Amrita college at amritapuri campus. As per previous year cutoff for CSE branch for Open quota was 6940 and State quota was 16547. So if you have state quota then you can go for CSE branch else you have to choose other campus for getting an admission using open quota like coimbatore or bengaluru.

for more details please visit the site below;-

https://engineering.careers360.com/articles/aeee-cutoff

Hope it helps!