Yes, but at the end of the day, its your word against their's.
a few years ago i was in a similar boat - no insurance and the other person [at fault] denied it. My solicitor said you could spend like $1,000 dollars to take them to court and you may not get anything, if the judge decides that you can both pay your own way, or worse you lose the case...I can pm you my sloicitor details if you really want to pursue it.
Perhaps chat to legal-aid for some free advice!