Can a sponsored member continue his or her membership after it expires?

Yes.

Sponsored members are those whose premiums are paid for by local government units, government agencies, or perhaps private institutions, and whose membership lasts for one (1) year. After the expiration of the membership, the member has three options:

1. If the membership is not renewed, he/she can reapply for the sponsored program again with the Department of Social Welfare and Development (DSWD) who will evaluate the application and endorse it to a sponsor;
2. Continue the membership as an Individually Paying Member(IPM). To avoid any gap in his or her coverage, it is recommended that the member pay the Individually Paying Program (IPP) dues before the expiration of his or her sponsored membership;
3. If the member manages to find employment, the employer will pay half of his or her premiums and the member will shoulder the other half via salary deduction.

It is not unusual for a PhilHealth member to move between the different classes of PhilHealth membership in a lifetime.

For more information read this post.