Er, no. Choice is part of the way your (and my) brain works; brains operate, as do everything else, within the laws of physics, being implemented on them (as is everything else).
I am a subsystem of the universe; I am deterministic. I consider possibilities; each one was found by my brain as it proceeds according to physics. I choose; the method of selection is part of my brain as it proceeds according to physics (as does everything else).
I am deterministic. I choose. You are deterministic. You choose. These are not incompatible: they are at different levels.