I think technically it's just barely large enough to fit, but, the booster isn't designed to land like that, it's supposed to be caught from the top by a tower. So, the Raptors would probably burn a hole through the barge trying to land on it.

The eventual plan was to catch these with towers on modified oil rigs, then refuel and relaunch from there. But that has been put aside for now, there's so much land infrastructure to focus on.