If the accident was your fault and you've suffered losses that aren't covered by your insurance, you can't claim for them unless they're covered by alternative insurance.
If the accident was somebody else's fault you can claim your losses back directly from their insurer yourself.
Admiral Law also may be able to help you pursue losses not covered under your policy, such as excess, even if you don't have legal cover on your policy. Please contact us if this is something you want to consider and we can instruct them for you.