There is vast ocean separating North America from Europe. There would be no way that Europe and North America could meet, not with land masses touching.
However, if you go to the Mid-Atlantic Ridge, there is something else to be found. A divergent plate boundary in the middle of the Atlantic Ocean is where the North American and Eurasian Plates meet. In the country of Iceland, this is known as Reykjanes Ridge. The Mid-Atlantic Ridge goes through Iceland.
One major feature is the Silfra Fissure. A rift formed by the Mid Atlantic Ridge. This is a divergent plate boundary. The plates are moving away from each other.
Taking a dive into the spring-fed waters of the Silfra Fissure will bring a point home. At this point, a diver can touch both the North American and Eurasian plates at once.
The Mid-Atlantic Ridge also plays a role in Iceland’s geothermal power resources. Being a geothermal hotspot, this helps Iceland.
Iceland is located closer to continental Europe than continental North America. However, it is on both the North American and Eurasian plates. It also has some proximity to Greenland, a large North American island ruled indirectly by an EU nation, Denmark. It its own way, Iceland can be considered where Europe and North America meet.