I think it's more likely that Etruscans moved to Italy from Aegean. Found this on Anthrogenica:
(The Origin of the Etruscans; 2003):
"For the explanation Briquel sees (79 n. 273) three possibilities: (i) a movement from the West to the East; (2) a movement from the East to the West; (3) both peoples are remains of a general non-Indo-European substratum.
The first theory was recently defended by De Simone (1996), but this was generally rejected (Steinbauer 1999 shows that it is linguistically impossible; cf. also Beekes 2001). This is also clear from the following consideration. A glance at the map(in this article) shows that the eastern Tyrsênoi are the remnant of a population that tried to survive at the fringes of the mainland and on the islands. This is further confirmed by the fact that these people disappear without trace. Mostly they are mentioned just once, and often it is only stated that they once lived (past tense) there. Why would the Etruscans from Italy have come to these places? One might suggest for trade, but there is not the slightest evidence for trading activities of these eastern settlements; they are never mentioned as (active) trading posts; in any case we would have to assume that this trade became a failure. (Let alone the question whether the Greeks would have tolerated them in their country.) Also, the archaeologist Beschi objected that there is no sign that there were Etruscans (from Italy) on Lemnos. Would Etruscans have settled in all these places? And all these places are found in one contiguous area, which seems unlikely if it concerns trading posts. [See also App. iii.]"
(The Origin of the Etruscans; 2003):
"For the explanation Briquel sees (79 n. 273) three possibilities: (i) a movement from the West to the East; (2) a movement from the East to the West; (3) both peoples are remains of a general non-Indo-European substratum.
The first theory was recently defended by De Simone (1996), but this was generally rejected (Steinbauer 1999 shows that it is linguistically impossible; cf. also Beekes 2001). This is also clear from the following consideration. A glance at the map(in this article) shows that the eastern Tyrsênoi are the remnant of a population that tried to survive at the fringes of the mainland and on the islands. This is further confirmed by the fact that these people disappear without trace. Mostly they are mentioned just once, and often it is only stated that they once lived (past tense) there. Why would the Etruscans from Italy have come to these places? One might suggest for trade, but there is not the slightest evidence for trading activities of these eastern settlements; they are never mentioned as (active) trading posts; in any case we would have to assume that this trade became a failure. (Let alone the question whether the Greeks would have tolerated them in their country.) Also, the archaeologist Beschi objected that there is no sign that there were Etruscans (from Italy) on Lemnos. Would Etruscans have settled in all these places? And all these places are found in one contiguous area, which seems unlikely if it concerns trading posts. [See also App. iii.]"