Yes and no. All the dinosaur species that lived during the Mesozoic Era are extinct. And all of the "traditional" dinosaurs (meaning all the dinosaurs that aren't birds) are extinct.
Seven of the eight major groups of dinosaurs are extinct, leaving only the theropod dinosaurs (see above). One of 40+ subgroups of theropod dinosaurs evolved into birds, so that one major group is not extinct. You can say that dinosaurs are
7/8 extinct!