Behind the Name: Greek Mythology Names

Behind the Name: Greek Mythology Names:

"JASON m English, French, Greek Mythology (Latinized), Ancient Greek (Latinized), Biblical
From the Greek name Ιασων (Iason), which was derived from Greek ιασθαι (iasthai) 'to heal'... [more]"

Reading through some Greek names today and came across this. Does it mean that with my name I can heal or I am one who heals?