Is it possible to use fast formula to reference another eligibity profile?

Summary

Is it possible to use fast formula to reference another eligibity profile?

Content

Scenarios:

XX Eligibility Profile: is created to define a group of employees who are eligible for a XX performance document

YY Eligibility Profile: can we reference XX Eligibility Profile (via fast formula)  to include anyone who are NOT in XX Eligibility Profile?

Basically, can an eligibility profile be used to build a fast formula?

Thanks,

Jackie