Yes. If you have a health savings account (HSA), your contribution to a self-only plan is permissible up to set annual limits (in 2019 it’s $3,500, plus $1,000 if you’re age 55 or older by year end). Alternatively, if you have a dependent under the HDHP, you can contribute to an HSA up to the limit for family coverage.
The additional amount paid over the face amount of an obligation that may be deducted.