To apply for a residence permit, you need a medical certificate within 3 months from a second-class hospital or above, not a health certificate. These two are different.
Theoretically, if it is only two and a half years, the liver function is normal and the physical examination is qualified.
Specific to the situation of Da Sanyang, if the reported employer has no objection, you can apply for a residence permit. There are other conditions, you can take a look at this.