Easily if the multiple CD/DVD-ROM drives I own are anything to go by, they all seem to manage fine.
So what? Do you think you can't achieve high enough resolution with a stepper?
Well, I'm fairly sure I know what a stepper motor is and how it works, I'm also fairly sure I know what a brushless DC motor is and how that works. Where I'm unsure is in what the difference between the two types is because they both operate in the same way, albeit one has far less poles than the other (which may be the difference!).
OK, so define a multipole DC motor and let's see where the difference lies. AFAIK the type of motor you think is exclusively used in CD and CD-ROM devices is a multipole brushed DC motor but I could be wrong, please enlighten us.
FWIW, the only brushed DC motor I have seen in a CD-ROM drive for a very long time is the one used to open and close the tray.