The answer is likely.. but it depends on a few things.
When we are approving a loan/borrower, we look at 4 areas.
1/ Credit (if you are 570, then you are on the lower side of things). Scores range from 350-850.. Also, how much debt do you carry.
2/ Income -- how stable is it? How long have you been there? Are you commission based/salary etc?
3/ Assets -- down payment. You are great in this respect. Also, we look at money left over after you buy.. we call them reserves, and lastly,
4/ Property -- what type of property? Single family, condo, flat, duplex, etc.
If you are buying/refinancing a single family home that you are going to live in (#4), you have a large downpayment (#3), you have a great job and income (#2) -- but your credit is iffy -- then you can be ok.
We lend to borrowers down to 580 (if you are at 570, 580 is a hair away in the lending world -- it is likely quickly achievable) -- and with a large downpayment - you are even that much more of a stronger risk.
Feel free to visit my site at http://www.lendwithjason.com
for more info and help.
I have been in lending for 11 years and am based in Bedford, NH.