Retirement tax questions

No.

The employee contribution (line 15) is the amount that the employee is required by the employer to pay for the health insurance coverage.

This is a payment for insurance (presumably your High Deductible Health Insurance which you are required to have for an HSA), not to the HSA itself.

Per the IRS, HSA funds also cannot be used to pay most health insurance premiums. See the exceptions in IRS Publication 969 under "Distributions from an HSA.