25 July 2011
YES... you can have your own tax computation, different from Form 16. You only need to keep the supporting documents for your tax calculation for any future reference.
25 July 2011
In case its..medical insurance > YES.. you claim...
In case its medical reimbursement : wherein your employer has deducted TDS on this medical part also due to non-submission of medical bills by you....then, you can not claim this benefit on your own.