Normally no. Tho some gay men report experiencing some “wetness” when bottoming. Each person and situation is different.
Some causes could be left over liquid from enemas & pre sex cleaning, the colon has a mucus membrane so some small amount of self lubrication is possible (again, depending on the guy), and obviously there’s also the… (to be frank) shit factor if someone hasn’t fully cleaned out.
Most BL stories completely ignore the very real factor of gay sex that’s Bottoms prepping. Which usually involves enemas or some sort of cleaning practice plus making sure to eat a lot of fiber through food or fiber supplements.
The whole leaking asshole thing is, like the other commenter said, a product of the omegaverse getting popular. Which itself is assigning qualities of female genitalia/sexual phenomenon (don’t know how else to phrase that) to male characters so writers can completely skip over that reality.

Do you guys really leak out your asshole?