Can a CorporateOfficer be a officer or director of another Corporation?

Depends. If either of the corporation's have restrictions on the officers/directors that they can not be officers/directors of another company, then no he would not be able to be the officer/director of both companies. Additionally, if these are publicly traded companies, the SEC may have some restrictions about officer/director of two companies if there is a conflict of interest. Otherwise, he could be a director/officer of multiple companies at the same time.

LEGAL DISCLAIMER
Ms. Atwood is licensed to practice law in TX and is located in Katy. Her response here does not constitute legal advice and does not create an attorney/ client relationship. The response is in the form of legal education and is intended to provide general information about the matter in question. Many times the questioner may leave out details which would make the reply unsuitable. Ms. Atwood strongly advises the questioner to confer with an attorney in their own state to acquire more information about the specifics of their case.

If these companies are private companies and there is nothing in the bylaws of either company restricting officers from being directors of other companies, there should be no problem. I am assuming that the employment agreement for Mr. Doe does not contain any restriction to the contrary.