So, can you refinance it? Yes. Do you have the credit, income and most important here...the equity to refinance? It sounds like no. you don't so, to your question, no, you can't refinance.
I wouldn't place too much weight on the issue of recourse or not at this point. you have bigger issues with value to worry about.
A recourse loan might have a lower interest rate if you have other assets the seller could seize if you don't make your loan payments. It doesn't really change whether it can be paid off and a new loan obtained.
An existing loan may have fees charged if you pay it off early.
I have general home loan mortgage information posted at
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