I hope you are doing well.
Amity does hav a very wide range of courses online for their students as in you can apply for online courses.
the + point is Amity is recognised by University Grants Commission (UGC) that means all the online courses they offer are recognized by UGC.
Thus I can say Amity is a full fledged university and not a deemed university so yes you can go for an online degree in any program.
Hope this helps!!