Short answer: Yes, but not for the same expenses. Any child or dependent care costs reimbursed through a Dependent Care Account must be excluded from the expenses you claim for the tax credit.
DCAs
Dependent Care Accounts (DCAs), a type of FSA, allow employees to set aside pre-tax dollars to pay for eligible child care or dependent care expenses. These FAQs cover contribution limits, qualifying dependents, eligible expenses, and coordination with other tax benefits like the Child and Dependent Care Tax Credit.
What expenses can I pay for with a Dependent Care Account (DCA)?
Short answer: You can use a Dependent Care Account to pay for eligible child or adult care expenses that allow you (and your spouse, if married) to work or look for work.