No, it is derived from the Greek language.
You can say "mon nom est Alexis" in French to mean "my name is Alexis."
je m'appelle Alexis, mon prénom est Alexis
Alexis je t'aime
There is no known celebrity named Alexis Gilbertson. However, the name Alexis means defender of man and it is an American originated name.
Alexis Minotis's birth name is Alexis Minotakis.
Alexis Llewellyn's birth name is Alexis Llewellyn.
Alexis Hebert's birth name is Alexis Herbert.
Alexis Castanares's birth name is Alexis Castaares.
Alexis Sarandon's birth name is Alexis C. Sarandon.
Alexis Raich's birth name is Alexis Nicole Raich.
Alexis Talley's birth name is Alexis Leeann Talley.
Alexis Texas's birth name is Thea Alexis Samper.