Both blood sugar and the Blood pressure tests are required for life insurance, although depending on who you're looking at this might be different. This is for John Hancock.
You can find a lot of life insurances out there that require no blood tests and no medical questions. I would look into those before buying that policy.
Typical blood tests for life insurance are for heart disease, diabetes, cholesterol issues, and immune diseases. Cooperate with your insurer for the best outcomes of your application.