Yes. Warren Buffett has gone on record saying that if he only had a million dollars to invest (as opposed to umpty billion dollars), he was sure he could double it in a year. His problem is that there just aren't that many multi-billion dollar investments around, and those that are, are well known, and therefore accurately priced. Maybe also, for the same reason, it's hard for a massive company to keep growing (a smaller co has more room to grow).
With a million or less, he could assess the small companies that aren't covered by analysts and so on, to find one that was (1) great (2) cheap
The lack of money is not the deficit that stops you (and me). Mostly, it's effort, and self-confidence in your own considered opinion when it is contrary to everybody else. To buy when others sell - because you've done the research, and trust your judgment. It's mostly an emotional or moral quality. If your judgment is wrong, you have a lovely learning experience that cannot be obtained in any other way (and Warren Buffett has had that experience).