YES, and many want higher scores
The loan approval depends on the WHOLE package of you two: credit score, sufficient down payment, adequate income, low debtload, job stability, etc.
The MORE money you put down, the more likely you are to obtain loan approval. . . .the LESS you put down, the MORE you pay for the house over time, 3-9 times its purchase price
IMHO you should wait 6 months, saving for down payment and rebuilding your credit rating as it is below the bare minimum threshhold, and not yet "average".
real estate investor