Yes. At least in part. We know that Michael VIII helped finance the Aragonese intervention.
The feud with Charles of Anjou was at a danger point. Pope Martin IV, Charles's handpicked choice for pope the previous year (1281), was a firmly Angevin creature, unlike his predecessors. He had excommunicated Michael VIII on ascension and gave the nod for Charles's assembly of a crusader army for an expedition to recover Constantinople. That army was already partially ready, and was forced by the Vespers (March 1282) to be diverted and lay siege to rebellious Messina.
The Aragonese fleet was already in the vicinity - intervening in Tunisia. They had originally set out in early 1282, ostensibly to assist a rebellion against their former client, the Hafsid sultan Abu Ishaq of Tunisia. However, that rebellion was already effectively over by the time the Aragonese disembarked in Collo (near Constantine), but they dilly-dallied there for a while, until July, when they were contacted and invited by the Sicilian insurrectionists, and set sail for Palermo.
Not sure exactly when Michael VIII put up the cash or promise of cash, whether in the Summer of 1282, or earlier or later. That Peter of Aragon just "happened" to be so nearby with such a great fleet was rather fortuitous. And a little eyebrow-raising. This might all have been already planned and coordinated, well in advance.
Pope Martin IV was, of course, furious. And excommunicated Peter & Michael (again) that November for the intervention, citing the latter's financing of it.
We think the main planner was Giovanni da Procida, a Sicilian nobleman closely linked to the Hohenstaufens, who was for a time physician and close counselor of the previous (anti-Angevin) pope Nicholas III. We know Procida and/or his agents traveled in the late 1270s to both Constantinople and Barcelona seeking assistance, diplomatic, material and financial, to drive out the Angevins and restore the Hohenstaufens in Sicily. So he was not only the principal figure behind the Vespers on the ground in 1282, but also in forging the Aragonese-Byzantine diplomatic links before it. The plans may have been all already in place during Nicholas III's tenure, before 1281. And the new Pope Martin IV's turn against Michael VIII and the nonsense about recovering Constantinople may have actually been provoked, or at least accelerated, by sensing the noose tightening around Charles of Anjou's position in Sicily.
EDIT: And, oh, the Sicilian Vespers didn't "finish" the Normans. If anything, it was Norman revivalist, and began in Palermo, the old capital and most Norman of the cities. The local old Norman families were quite fond of the Hohenstaufens, and became the party of Aragon. The Vespers were directed against the Angevins and the new crop of feudal lords imported from France and northern Italy, who were side-stepping and undermining the old bureaucracy, the bread-and-butter of the old Norman families.