There's too much variance in both groups. In the broadest generalization possible, they basically want the same things (more equal society) through different means.
In general, the Tea Party blames the government for meddling in the economy, which they claim breaks the natural mechanisms of capitalism, creating monopolies and extreme concentrations of wealth. They want an absolute separation of business and government (the government only exists to enforce contracts and maintain a standing army), but their perspective generally fails to acknowledge how impossible it is to maintain that degree of separation. They generally disagree with the amount of power large corporations have, but generally fail to direct a proportionate amount of their energy towards protesting big business vs government.
In general, the Occupy movement blames big business for meddling in the government, which they claim breaks the natural mechanisms of public representation, creating monopolies and extreme concentrations of wealth. They want an absolute separation of business and government (the government only exists to equally reflect the collective will of all its people), but their perspective generally fails to acknowledge how impossible it is to maintain that degree of separation. They generally disagree with the ways that governments are abusing their powers, but generally fail to direct a proportionate amount of their energy towards protesting government vs big business.
I know multiple Tea Partiers of various kinds and have been somewhat involved with Occupy. The major differences in character that I see are the Tea Party has been very co-opted by external influences and is more directly political and organized. Occupiers tend to be less directly political and organized, but much more resistant to being co-opted and tend to be a little more aware of all the things I just described.
They could get along... but it would take a lot of maturity from participants on both sides to make it mutually beneficial... and quite frankly, I don't think most of the Tea Party has that. They're just too stubborn and divisive. I do know people who support both. I just don't expect it to happen on a larger scale.