Luckily, the Olympus OM mount was really consistent and never modified*.
Therefore any Olympus OM mount lens will fit any OM body.
In short, yes it will fit your OM-10.
*= Some macro OM lenses are made to be used with bellows or extension tubes. These cannot be attached directly. For "normal" lenses, there should not be any problems.
Another exception are the AF lenses made for the auto focus models.
An easy way for you to tell is this comprehensive list
. All lenses listed there will fit your camera unless listed under Bellows-Mount.