Hra exemption for income tax

No you cannot do that, as the HRA component does not forms part of your salary.  However you can claim deductin u/s 80GG of I-T Act, as the persons not receiving HRA can claim the exemptino under the said section.

the detailed section is as per the link below:

https://law.incometaxindia.gov.in/DIT/File_opener.aspx?page=ITAC&schT=&csId=47644fd7-e358-4dab-be92-d250ab4fb594&rdb=sec&yr=a56ea192-3ca8-433a-a515-ed68a062eac7&sec=80gg&sch=&title=Taxmann%20-%20Direct%20Tax%20Laws