You can absolutely choose whatever name you like. Hell, you can DJ under multiple names!
My name is definitely already taken; it’s an incredibly common name, and I know there are a number of musicians out there using it. But it’s my name at the end of the day, and I’ve always felt more comfortable using it for the average gig than some pseudonym. On the other hand, I’ve made use of plenty of other names over the years for gigs featuring different musical styles.
It’s entirely up to you, and I encourage you to have fun with it!