Phylicia is a 20th-century American variant of Felicia — from the Latin felicia (happy, fortunate). Dean of the Chadwick A. Her younger sister is choreographer Debbie Allen (Fame).
Phylicia does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Phylicia reduce to 2, The Peacemaker. This is a traditional interpretive system, not a factual claim about the name.