I assume it would have to be transferred to an FFL in Florida for purchase there.
Normally, yes, because you cannot buy a handgun outside of your home state.
However, President Trump cannot currently purchase a firearm from an FFL because he cannot answer "NO" to question 21c:
Are you under indictment or information in any court for a felony, or any other crime for which the judge could imprison you for more than one year, or are you a current member of the military who has been charged with violation(s) of the Uniform Code of Military Justice and whose charge(s) have been referred to a general court-martial?
Otherwise, President Trump would have a Hunter Biden problem...