Can I perform Hajj on behalf of my father who resides in Egypt, is financially capable but not physically able, after I have already performed Hajj for myself?

If your father is unable to perform Hajj due to old age or an incurable illness, he is obligated to appoint someone to perform Hajj on his behalf. You may perform Hajj on his behalf, but only on condition that you inform him and obtain his permission. It is not permissible to perform Hajj on behalf of a living person without their permission, whereas it is permissible on behalf of a deceased person without permission.