Public Safety Officer Health Improvement Act of 2022 This bill allows eligible retired public safety officers who have not attained age 65 a tax credit for up to $4,800 of their costs for qualified health insurance premiums (i.e., premiums for coverage for eligible retired public safety officers, their spouses, and dependents by an accident or health plan or qualified long-term care insurance contract). It also provides for an inflation adjustment to the $3,000 exclusion amount for distributions from employer retirement plans to pay for the health and long-term insurance premiums of such public safety officers.