First of all there is no FICA Score! There is only FICO Score or simply FICO.
FICA is a United States payroll (or employment) tax imposed by the federal government on both employees and employers to fund Social Security and Medicare.
FICO or FICO Score is the most widely used type of credit score and it is developed by the Fair Isaac Corporation. There are different methods of calculating credit scores, FICO score is the most popular one.
Hope that this clarifies the confusion. Here are some useful resources: