Certainly yes, but its also a fact that many Greek names, together with the Greek alphabet and language, have "travelled" because of the Romans all over Europe since the ancient times.
And of'course the formation of Greek names is far away more complicated than "a set of syllabes", as it can be in other languages...! (See the "Lexicon of the Greek Personal Names" by the British Academy,
www.lgpn.ox.ac.uk )
PS Who said
Ayda anyway?