Not until the Hyksos introduced them - around 1650 BC. Donkeys were more commonly used for transporting people and goods before that, and afterward, as well. Donkeys would have been useful for transporting goods from ships to inland destinations in America.Were horses all that big in Egypt?.
My point is that, if there was an extensive trade over a long time period, a two-way exchange of natural and man-made goods would have occurred. When people have extensive trade with or relocation to a new region, they take with them the things they're familiar with from home. Vikings took sheep and cattle to Greenland. Spanish took horses to America. Polynesian sailors took pigs to Hawaii. I wouldn't expect to see such items in a first, accidental discovery of a place, but over a long period of interchange, traders - especially Phoenicians, who RS suggested - tended to set up local trading posts of their own people living in the land they traded with, who would have brought with them or requested some comforts of home.
[Edit: I fixed your quote tags, jw. Min.]