No, no such cause of action could possibly be maintained. (That doesn't mean that it couldn't be filed, but it would be dismissed immediately after a challenge by the agent/defendant, since it would fail to state a cause of action on which relief could be granted).
agent is not under any duty to keep a policy in place when the insured failed to pay for the policy and it was canceled for nonpayment.
This is completely legitimate reason for canceling the policy, and there would be no possible reason the agent would be at all liable in this situation.
Also, it doesn't matter if the insured was unaware of the cancellation or not, it is the insured's responsibility to maintain insurance, and ensure that the policy is paid for, not the agent's.
I hope the above information is helpful.
Please let me know if you have any clarifying questions as I want to ensure that you are completely satisfied with my service.
If not, please remember to rate my answer positively so I get paid for my work.
Thanks and best of luck!