Scratching someone else's itch is never as satisfying as scratching your own. That being said, it's possible to derive some satisfaction working for other people, yes, particularly if what you end up working on is challenging and non-repetitive, and you're able to see the product grow and take shape over its lifetime from a crude mock-up to a (hopefully) complete product.

That being said, you might just be in a bad position and/or at a bad company, and you'll never truly feel "happy." If you give it a few months and still aren't feeling it, perhaps consider lining up your next position, possibly in a different field or working with different tools than you are now. Maybe your next one will catch on with you better than this one.

Good luck!