You can claim injury compensation after a road accident without a solicitor by dealing with an insurer directly.
However, aside from the common issue of insurers dragging their heels, the problem with having no expert legal advice is that a claimant would have no idea what they could claim for, how to overcome denials of liability, what evidence they may need or what would equal a fair settlement for all injuries and losses.
We often have clients come to us after a month or two of dealing directly with an insurer, and upon working with a no win no fee solicitor they find they can more easily obtain evidence and a far larger settlement than they would have been offered.