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Yes, if your dad meets the conditions of a Qualifying Person and you meet the conditions to claim the credit.

To qualify for this credit, you must meet all of these criteria:

• You (and your spouse, if filing jointly) must have earned income
  • The earned income requirement for one spouse is waived if they were a full-time student or disabled (if they lived with your spouse for more than 6 months in 2021)
• You paid caregiving expenses so that you (and your spouse, if filing jointly) could work or look for work
  • The work/look for work requirement for one spouse is waived if they were a full-time student or disabled (if they lived with the other spouse for more than 6 months in 2021)
• You paid a caregiver to care for a Qualifying Person. The caregiver can't be:
  • Your spouse
  • Your dependent
  • Your child if they were under 19 on the last day of 2021, even if not your dependent
  • The parent of the Qualifying Person, if the Qualifying Person is your child under the age of 13 during 2021
• You can't file with the Married Filing Separately filing status (except under certain circumstances)
• You must furnish the care provider's name, address, and (unless it's a tax-exempt organization) their SSN, ITIN, or EIN on your return

See What is the Child and Dependent Care Credit?  for more specifics.