Well if you have equity in your house then i suppose it's possible. If no equity then no of course they wont cause there wont be any money left after the sale.
If you dont mind me asking exacetly how much are you talking about?
I wouldn't know 100% but i would of thought if you do lose and dont have the money and have no equity in your house, and no assets, then you would be made to make weekly/monthy instalments untill the debt is paid of.
If you are unable to pay these instalments because of financial reason i really dont know what would happen. They cant order you to pay what you dont have, you have to survive your self as well.
Are you going to have to pay a solicitor as well? I would really have a chat with someone that knows 100% what they are talking about and what chances you have of winning. It could be better to try and settle at a lower amount, offer what you can honestly afford each week/month.