Certainly. However, there are no modern analogues where there is a triple junction where all 3 plates are continental crust. This would occur though during a supercontinent phase.Aren't there places where three tectonic plates intersect?
Unless the desert is caused by a mountain chain causing a rain shadow, but to explain your map there would need to be a mountain chain N-S between the forest and dessert. So yep, difficult to explain that one by natural phenomena. As Chick said, you can always use magic!Desert and forest at the same latitude is going to be hard to explain...
Cool map!