Can I Recover Even If The Motorist Never Hit Me But Caused Me To Have An Accident?

Yes. If a motorist forces a cyclist off the roadway and that cyclist is injured, if the motorist was negligent in doing that, and the cyclist was not at fault, then the cyclists can file a claim and/or file a lawsuit against the motors for negligence, and the cyclist within be entitled to recover all of their out of pocket expenses and a fair and reasonable amount of money for their pain and suffering. So the answer to the question is: yes.