Can super glue bond every kind of stone?

Superglue was never intended to bond stone to stone. It is for things that may break around the house like porcelain and plastics.

Some stone is porous and putting superglue on it would be worthless. There are other types of glue that are meant for gluing other things together. Talk to someone at lowes or Home Depot for more adhesives.

If you are trying to make a brick wall or something you shouldn't be using glue at all but a cement type mixture.

ANS 2 - Stone is best glued with thin-set mortar or tile cement.