No. The Gallic Veneti lived in Brittany, along the coast of the Morbihan. As far as we know, they were completely destroyed (or driven into slavery) by the Romans during Caesar's campaigns in the 50s BCE.
There was another (originally Celtic) tribe called the Veneti who lived in the area of modern-day Venice. They were a typical post-Urnfield Culture Italo-Celtic people but had no connection to the Veneti of western Gaul.
Incidentally, there are several other peoples named the Veneti in Europe in the ancient world, including "Vistula" Veneti, who may have contributed to the early ancestry of the Slavic peoples.