How can I help with this please?
Yes, there is no reason you cannot claim. The law of negligence applies to you as much as to insurers.
The issue though is that you will have to claim in your own right.
Also, the other person may report you for having no insurance.
The court will not automatically refuse your claim because you have no insurance but it is fair to say that they could reduce the award as you were driving illegally.
Can I clarify anything for you?