This is possible, but the problem is that the closer your satellites get to earth, the larger number of satellites you need in your constellation to maintain coverage. Iridium[1] spent $6 billion putting a very large constellation of satellites into orbit and promptly went bust. Convincing an investor that you won't end up having the same problems that iridium had would be tricky.

It's certainly not impossible, but I would be surprised if the economics of satellite based internet can compete with fibre based networks. The areas where fibre isn't feasible are also probably the areas with few people, and so the potential to make money is limited.

Iridium has shown that (once you disregard capital costs), there is a niche for satellite based telecom services, but it's a fairly niche area.

[1]: http://en.wikipedia.org/wiki/Iridium_Communications_Inc.