Yes, actually. Despite the fact that new species arising usually takes thousands of years of evolution to occur, it's happened during our time here. Trying to watch for species to diverge into other species is like watching rocks move.
For example, there were the two new species of American goatsbeards (or salsifies, genus
Tragopogon) that sprung into existence in the past century. In the early 1900s, three species of these wildflowers - the western salsify (
T. dubius), the meadow salsify (
T. pratensis), and the oyster plant (
T. porrifolius) - were introduced to the United States from Europe. As their populations expanded, the species interacted, often producing sterile hybrids. But by the 1950s, scientists realized that there were two new variations of goatsbeard growing. While they looked like hybrids, they weren't sterile. They were perfectly capable of reproducing with their own kind but not with any of the original three species - the classic definition of a new species.
https://blogs.scientificamerican.com/science-sushi/evolution-watching-speciation-occur-observations/
