Yes, but not for the same wages.  The amount of qualified wages for which an Eligible Employer may claim the Employee Retention Credit does not include the amount of qualified sick and family leave wages for which the employer received tax credits under the FFCRA.  

No.  An Eligible Employer may not receive the Employee Retention Credit if the Eligible Employer receives a Small Business Interruption Loan under the Paycheck Protection Program that is authorized under the CARES Act (“Paycheck Protection Loan”). An Eligible Employer that receives a paycheck protection loan should not claim Employee Retention Credits."

"For each employee, wages (including certain health plan costs) up to $10,000 can be counted to determine the amount of the 50% credit. Because this credit can apply to wages already paid after March 12, 2020, many struggling employers can get access to this credit by reducing upcoming deposits or requesting an advance credit on Form 7200, Advance of Employer Credits Due To COVID-19."

"Impact of other credit and relief provisions

An eligible employer's ability to claim the Employee Retention Credit is impacted by other credit and relief provisions as follows:

• If an employer receives a Small Business Interruption Loan under the Paycheck Protection Program, authorized under the CARES Act, then the employer is not eligible for the Employee Retention Credit.
• Wages for this credit do not include wages for which the employer received a tax credit for paid sick and family leave under the Families First Coronavirus Response Act.
• Wages counted for this credit can't be counted for the credit for paid family and medical leave under section 45S of the Internal Revenue Code.
• Employees are not counted for this credit if the employer is allowed a Work Opportunity Tax Credit under section 51 of the Internal Revenue Code for the employee."

And:

"In anticipation of claiming the credit, employers can retain a corresponding amount of the employment taxes that otherwise would have been deposited, including federal income tax withholding, the employees' share of Social Security and Medicare taxes, and the employer's share of Social Security and Medicare taxes for all employees, up to the amount of the credit, without penalty, taking into account any reduction for deposits in anticipation of the paid sick and family leave credit provided in the Families First Coronavirus Response Act (PDF). 

Eligible employers can also request an advance of the Employee Retention Credit by submitting Form 7200."

Hope that helps. All of this is meant to be Easy to read to find out what you specifically need to research further. I am not making any comprehensive information available here, since it likely won't stay timely to updates.