I've only ever summitted Cirque Peak from camping at Cirque Lake
so yes it's totally doable if you don't mind 3rd class scrambling.
From Cirque Lake, the route(s) is completely off trail - heading north then east into the bowl immediately north of the peak - then a fun scramble up to the summit. I've marked a rough path here for reference: https://caltopo.com/m/U15N
note that's a really rough approximation of the route I've taken - obviously terrain plays into the exact lines up/down the mountain.