Absolutely. The Phoenicians in particular were great merchants and explorers. They settled colonies and trading settlements along the coasts of North Africa and southern Europe, even as far as the Atlantic coast of Iberia, as well as on the various Mediterranean islands. Their best known colony of course became Carthage, which would have a very contentious relationship with Rome several centuries later.

There's also evidence that they were trading much further afield; for example, strong archaeological evidence that the Phoenicians were trading goods for tin in the southern parts of the British Isles. Tin is smelted with copper to make bronze, which was of course very critical at this point in time, and having a secure source of it was important.

Herodotus, in his Histories, even retells claims that the Phoenician sailors circumnavigated Africa, going west through the Straits of Gibraltar, rounding Africa, and finally arriving back in Egypt; though that is of course unconfirmed and probably unconfirmable, unless major new textual or archaeological evidence is found. That being said, it's probable that they traded down the coast of West Africa for luxury goods such as gold.

There are many sources for all of this; here's a good overview of Phoenician settlement and trading practices: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2047&context=ccr