Absolutely! ANY man and woman can stay married. Love is a matter of choice. That's not to say many agonizing struggles will not come, but you do have the ability to stay married.
As to the spending and saving, that is an issue best discussed and agreed upon BEFORE marriage. If it has been left until after you are married, then sit down and talk through the issue. Heart-to-heart conversations should be the norm for married couples. Discuss the advantages of a conservative financial strategy versus uncontrolled spending. Also, talking as a couple with a trusted, financially successful friend could help clear things up.
But by all means, stay together. Stick it out and be faithful and loving.