Yes, you can. You will file two separate Schedule Cs (one for each of you) allocating your respective income/expenses based on your interests in the business. This is called a Qualified Joint Venture. Also, please see this IRS Qualified Joint Venture - Husband Wife Business
Please note: If you were an LLC the rules will be different and you could only file on two Schedule Cs if you live in a community property state. Otherwise, a Form 1065 Partnership return would be required.
