Depends on your definition of 'inverts'. Most of us lump corals and crustaceans, gastropods, mollucks, etc all in the invert group. Technically, they are all inverts. But, many people use 'inverts' to refer to mobile invertebrates. Most mobile invertebrates: crabs, shrimp, worms, snails, urchins, stars, etc will be fine with just a plain old NO strip light. Inverts like corals (brain coral, polyps, zoanthids, anenomes, etc) are primarily photosynthetic, and do require lot os light. Deeper tanks, like standard 55's, can be tough to light well without going with something like metal hallide.
But--if you already HAVE the strip light, you'll be able to keep most mobile inverts. If you later decide you want to start adding corals, you can upgrade later without it costing more. You'll just have be certain the animal you're purchasing doesn't require high lighting--fairly easy with adequate research. I started with strip lights, then went the VHO, then to MH--and would have saved mucho dinero had I just gotten the MH to begin with.