just so we are all on the same page, here is a pic.

the red circled area is the sleeves, on hondas, they are all connected (for strength and stability, as its an open deck).

the piston moves up and down inside its cylinder, which is the inside of one sleeve. the "bore" of the cylinder is the sleeve for that one cylinder.

when someone has their engine "re-sleeved", they are removing this weaker set of sleeves, and installing, usually a ductile iron set in place of them.

the bore is an EXTREMELY precisely cut cylinder that the piston fits into. this bore, on stock B-series engines, is 81mm (less the 84mm B20).

when someone has their engine "bored", a machine shop is using a mill to increase in I.D. (inner diameter) of the cylinder to allow for a bigger piston for increase displacement, or because a proper hone cannot be performed.

once a bore is done, the engine just needs a slight hone, and its ready to rebuild. re-sleeving means a new bore/hone must be done, and hence, if an engine is bored, and then is sleeved, the bore was a waste of money.

unless for some reason i dont understand anything about engines, which has happened before

*EDIT*
and to answer your exact question, no, thats why honda makes oversize pistons, so engines can be bored by 0.25mm without having to be re-sleeved EVERY rebuild.