Yes, if ICBC does not pay for your treatment, your income loss, or other benefits, then you can start a lawsuit asking for fair treatment under the law.
If ICBC has treated you unfairly, then you may also be able to sue them for “bad faith” or punitive damages.
It is best to consult a lawyer before starting a lawsuit against ICBC. The lawyer can explain your rights and may be able to settle your dispute out of court.