Not unless he provided evidence for a claim to having switched sides and had active-duty service that would qualify for a pension allowance in accord with specific legislation.
Of course there were some men who lied about their service and received pensions, and not all were "found out."Not all of these were provably Loyalists, but some may well have been.
There was a group of men in old Harrison Co., WV, who conspired to fraudulently apply for pensions, and some actually received monies before being discovered and removed from the rolls.
One of my ancestors appears possibly to have impersonated a soldier who may actually have died on Long Island ca. 1778.My ancestor may have known the man well enough to know what his service should have been, and applied claiming that he (my ancestor) had enlisted under the other name because he had been in the British Army but deserted, and adopted the alias in fear of discovery.Oddly enough, the actual rosters say that the man with the claimed service had deserted from the Continentals and did not return to his Regiment before the end of the war -- so how the Pension Office allowed the pension claim is inexplicable.