Final answer:
Henry Owens cannot accept the engagement on a contingent fee basis because it breaches the AICPA ethical standards, which prohibit contingent fees for clients receiving certain services that require independence.
Step-by-step explanation:
No, Henry Owens, CPA, cannot accept the engagement to help the client prepare a claim for damages on a contingent fee basis because it breaches professional ethical standards. According to the American Institute of Certified Public Accountants (AICPA) Code of Professional Conduct, contingent fees are generally prohibited when performing certain services for clients for whom the CPA also performs audit, review, compilation, examination of prospective financial information, or other attestation services that require independence. Since Henry's firm prepares compiled financial statements for the client, accepting a contingent fee for the claim preparation could impair their independence and violate the AICPA ethical standards.