The two are often, but not necessarily always, found together.

The BDSM trinity (bondage and discipline, domination and submission, sadism and masochism) is an intertwining of those three distinct, but often complementary, aspects of the lifestyle. I think in the combining of those three things into one catchy acronym, many people have become confused about its origins and treat it as a single thing.

There are people who enjoy bondage, but don't dominate or submit; those who dominate and submit, but have no interest in pain-play; and those, apparently like yourself, who want the pain-play without having an interest in power exchange. And there exists every conceivable combination in every possible degree of those aspects.

Be clear and up-front about what your interests are and you'll find a compatible partner.