Hra eligibility

Yes he claim the exemption for HRA even if the place of business is delhi & rent paid is for bangalore premises.  the only requrieemtn is that the assessee shud incure the expenditure towards rent and produce the rent receipts.

No, it is not possible.

"Under Section 10(13A) of Act any special allowance specifically granted to an assessee by his employer to meet expenditure incurred on payment of rent (by whatever name called) in respect of residential accommodation occupied by the assessee is exempt from Income-tax to the extent as may be prescribed."

It is clearly specified “residential accommodation Occupied by the assessee” how can the person occupy the rented property in Bangalore if he is staying in a different city.