Yes, you can prime with DME. I might take a little longer, but it works fine.
You could also do it with wort, because all wort is is DME boiled in water, right? OK maybe with some hops, but.....you can prime with any fermentable sugar. The problem is ease of measurement. That's why most people either prime with corn sugar or DME.
Best of luck, and welcome to the forum!
May you go marching in three-measure time
Dressed up as asses, drunk to the nines
Swing from the rafters, shouting those songs
Gone unsung for far too long