Can I Receive Someone Else's Hair for Hair Transplant?

In short, no, you cannot receive someone else's hair for transplant.  While technically possible if one were to go through the process of matching with a donor (like any other organ transplant) and then taking immunosuppresant medications to prevent rejection, this is not really feasible for a hair transplant.
The side effects of the medication and increased costs associated with the testing, medications, and procedure would outweigh the benefits of the procedure.
As others have said, using body hair as a donor area is an option, but is usually not as good of a result as using hair from the sides or back of the head whenever possible.
All the best,

Thank you for your question. Surgical hair restoration transfers
your own hair follicles from a donor site to a recipient site. With the
exception of an identical twin, the transplanted hair cannot derive from
another individual due to the high risk that the transplanted follicular grafts
would be rejected by your immune system.

You can transplant another person's hair as long as the other person is your identical twin.  This has been done successfuly. Otherwise the transplanted hair will be rejected.