You can but then you shouldn’t. It’s tempting to accept a check from the driver at-fault, especially when you’re running late for an important meeting or when you’re on your way to work. But accepting a check right then and there might mean you won’t get properly compensated.
Most drivers would accept cash or a check payment for a few thousand dollars for a small dent thinking it’s a good deal. But you won’t know exactly how much work your vehicle need unless you have it checked. A tolerable headache might mean something serious that requires you to take time of work and hospitalization. A small scratch or bruise in your arms or legs might seem superficial but requires further testing to know for sure.
Once you’e accepted a check from the negligent driver the insurance company will consider the damages paid in full. Ultimately, they’ll reject your claim and you’re no longer entitled to further compensation.
Instead of accepting a check from the at-fault driver or his insurance company, consult with a lawyer first. Seeking legal counsel can help you gain insight on how much you’re entitled to. An experienced lawyer can also assist you with getting a favorable settlement.