Not in the near future. Elon Musk talks about making a profit by selling intellectual property from Mars, things like inventions by the colonists, but there is a big gap between inventing something and making it profitable and they would rely a lot on inventions from Earth so why should the flow of ideas and profit be one way, ideas from Mars to Earth, royalties and payments from Earth to Mars? Surely it would be two way and with most in the direction of Mars relying on intellectual property from Earth?

I don’t get it.

For anything else the huge cost of export from the Mars surface to orbit would seem to mean it couldn’t be competitive with e.g. the asteroids and the Moon. There are a few exceptions that enthusiasts have suggested, but none actually proven as yet. See in more detail: my answer to Could colonizing Mars be a lucrative or potentially profitable venture?

If you want to become rich from space colonization - the Moon is your best bet, or perhaps space based solar power above Earth beaming back to the surface. Both have people saying it could be worth trillions of dollars in the future. Also space mining of platinum from the asteroid belt. But whether it will work out commercially I’ve no idea.

A more sure bet would be to invest in tourism, and the Moon is the obvious location there, if you can find a way to reduce costs to get there, then you may well get many takers who would pay a fair bit for a one week trip to the Moon, say.