Cash offer--THEN private lender?

[Vonetta Booker]

I have cash available for a property I want to make an offer on--however, I'd rather not tie up all that money if at all possible, and I also have a private lender willing to finance the purchase & rehab.  

Is it possible to make an initial REO offer using cash (i.e. showing a bank statement POF) to make the offer more attractive--but then having private lending in place by closing?