It is possible, but not in every case.
Considerations for Claiming HRA and House Loan Interest
Is he also showing income from the house for which he repays the housing loan? There is also a possibility that, like in his own house (for which he repays the housing loan), his dependents stay, and he and his wife are staying in another rented house nearby his workplace. Whatever the case is, the Commissioner of Income Tax should accept the same. Otherwise, IT will be collected with a penalty. It is the IT department's decision whether to accept or not when both HL and HRA are claimed.