Absolutely, although that may not be the first answer you hear. As you can well imagine, banks are all over the board these days in what they will and will not approve or allow so it takes some due diligence on your part to determine your (best) options.
Different lenders have different programs, different allowances, different buyer acceptance rates, so it behooves you to check around. Don't waste a lender's time of course but if all you are doing is checking with your bank, without at least a conversation to a broker (who has access to SEVERAL banks/lenders) then you're selling yourself short.
I'm still closing deals with great loan rates and payments, as are many of my agents and the good remaining loan officers I work with, so take heart!
There are also new possibilities to homeownership opening up by way of mortgage assumptions and seller financing so it's good to ask your agent/attorney/lender what's possible.
Many agents shirk from short sales, especially now that the new "Distressed Home Consultant" law was passed in Washington on June 12th, but there are some GREAT houses out there that banks have agreed to take less than what is owed on so it doesn't hurt to look! You can get lists of these types of properties by sending me an emailed request.
The market is still moving and so are we!