Simple answer....yes.
However, in this wording, he has to say something about the anticipated crime that a investigation would be about. For example....the pardon might not cover bribes in the time period, or tax issues.
If he fails to cover 100-percent of the crime? Then the pardon has limited to zero value.
On top of this problem with Biden....if you come out later to find that Biden's mental capacity was a problem....then the pardon is of zero value.
So after 20 January....I anticipate some state AGs....will be going to court, and President Trump will nullify all of the pardons and executive orders....leaving a massive court mess for the Supreme Court to spend five years....cleaning up.