Why couldn't you? If the Chapter 7 hasn't hit your credit, it's not normally something you need to disclose to a prospective landlord. Your finances are your business. If it has impacted your credit, you may find a landlord who would be willing to lease you a property if you provided an explanation for the bk. Many landlords nowadays are granting exceptions given the number of people being displaced by foreclosure and bankruptcy. If you encounter resistance, try offering pre-paid rent up front to strengthen your hand.
Consult your attorney. In general "Yes" if you get an exception on the rental property is excluded from your bankruptcy. (Get this from your attorney in writing), explain your situation and give this information to your future landlord.