Dear candidate, yes you can apply for admission in B.Sc course in Kerala University. You can proceed like-

• Get the application form for the particular course through there official website,  ( https://www.keralauniversity.ac.in/application-forms )
• The University offers admission to BSc programme based on candidate's performance in Class 12 and in the concerned subject followed by allotment rounds, which means allotment is done on merit. There is no issue of whichever state your belong.

Hope it helps!