Yes, definitely. What's more, male BPs don't usually need rats larger than "smalls" anyway. And it's a huge error to leave a live rodent- especially a rat!- in with a snake overnight. In fact, don't leave them alone together for any length of time- stay right there with tongs in hand, ready to intervene.
Your snake has GOOD reason to fear larger rats- he's likely gotten bit, even if you didn't know it. He could even stop eating any rats at all if you persist. I'd suggest waiting a week or so, then offering a small.
Better yet, do try to get him on f/t. Rats can seriously injure or kill snakes- ask any vet that sees snakes & has for a while- they can fill you in on the horrific injuries that rats do to snakes.
When a snake doesn't want to eat, it won't kill a rat in its enclosure- seemingly oblivious to the danger (because in the wild, they'd just move on if not hungry), but rats get hungry & all bets are off where they're concerned. They've been known to feed on snakes.
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