Installing New Drain, but P-Trap is glued together. Will I have enough room?

Thinking of replacing my faucet which will come with new drain. But upon inspection my P-trap is glued together (except the screw that attaches to the metal drain pipe). Will I be able to remove the drain without disturbing the rest of the P-trap? It seems like the clearance would be very tight. Every DIY video of doing this shows a P-trap that just unscrews after the bend creating infinite clearance... Thanks for any input.