Rent to Own Stores can help you purchase things that you need while you have poor or bad credit and the Rent To Own stores do not check your credit score.
So even if you make on time monthly payments for the rent to own purchases the rent to own payments will not help build your credit.
However if you do miss payments they may report those missed payments to the credit bureaus which will then harm your credit rating.
Also not making the payments for rent to own purchases can land you in jail for theft if you do not return the merchandise or allow them to pickup the merchandise.