Can finger disability apply for health certificate for on-the-job physical examination?

No, it has nothing to do with finger disability. Physical examination and health certificate are different in nature.

Post physical examination belongs to health supervision, and the Measures for the Supervision and Administration of Occupational Health (Order No.23 of the Ministry of Health of the People's Republic of China):

Article 6 The employing unit shall organize workers exposed to occupational hazards to undergo occupational health examination before taking up their posts.

The employer shall not arrange for workers who have not received occupational health examination before taking up their posts to engage in operations that are exposed to occupational hazards; Workers with occupational taboos shall not be arranged to engage in operations that are taboo.

Health certificate is a post requirement for some occupations (such as food, catering, chef, service industry, etc.). ) That requires a health certificate.