Sure. Go for Axis Burgundy if you are actually willing to maintain that amount, since they will charge as soon as you stop maintaining. IndusInd Pioneer is also an option. I'll even sum up the pros/cons for you:
Pros:
Axis: Fast email/customer support, generally good RM's, Good cc's
IndusInd: 0 forex dc/cc's easily available, good branches, decent staff at pioneer branches but RM's can be shitty, phone support is decent, free locker and easy to get (small, medium)
Cons:
Axis: hard to trust, shitty dc, strict on maintenance criteria
IndusInd: Shitty app/netbanking, email is slow, general processes take longer at indus, below average cards for high fees (negotiate) but good for 0 forex