Typically, no. Most lenders only count ~70% of rental income for loan qualification purposes, and only after you've had that rental income coming in for a couple years. The exceptions are typically made for business loans which require higher down payments and higher interest rates than traditional mortgages. Also, getting your first business loan can be difficult as they prefer to lend to people with experience. Similarly you may be able to find an investor/partner to go in on this with you, but likely not with exciting terms.
I wouldn't recommend stretching to get approved for more, tenants can flake out on rent, it would be best to have a place you can afford on your own and let the rent be gravy rather than having tenants that could put things in jeopardy.