Unfortunately this is a long shot. The only thing I could see possibly working out would be a USDA loan, and the home has to meet requirements set forth. Both you and the home have to qualify essentially.
I'm not a lender, but I know that having no credit can be overcome if you can prove payment history of sorts. With your young age it could also be that there isn't enough payment history.
The only way you will know for sure it by contacting a lender. It could be a challenge to find someone to help, but that doesn't mean it isn't worth trying.
Good luck to you