You can go to church all you want and not pay tithing. I can't imagine it would be a good feeling though.
Tithing is only required if you want to be worthy for a temple recommend, or to hold a calling.
And really, there's always a way to fit tithing into your budget. The only excuse to not pay it is if you don't understand its importance. By that, I mean that if you understand all that God has done for you, 10% to help build His kingdom on earth won't seem like much at all.
And if it helps to put things into perspective for you, I know of a homeless woman in a stake near mine who is a member, pays tithing on what meager change she has, and even does her part in missionary work. And I'm not making that up.
But like I said, if you really understand all that God has done for you, no ammount of work you do for him will seem like too much. If you don't fully understand, you need to learn. In the very least, read up on what Christ had to go through to atone for our sins.