Not possible with one deck. At some point you will have to rewind the track to the loop position, doing so needs the track to rewind and hence something else needs to play.
Of course you can have a second vinyl that is not the same song and have loop section (vinyl 1) -> 4 beat break (vinyl 2) -> loop section (vinyl 1). So it would technically not be a loop but a repeat twister, but this is the only way you can pull something like this off without having the rewind sound coming out…