No, you cannot file RTI application to Axis Bank as it is Private entity.
RTI is only applicable to Public Authorities defined under section 2(h) of RTI Act, 2005: Under section 2(h) of the RTI Act, "public authority" includes any authority or body or institution of self-government established or constituted by or under the Constitution.
For further details you can reach through email: support@onlinerti.com