The answer imo is "maybe". You will get yes and no answers to this and has been discussed quite a bit. It will depend on the size of speaker/field strength and the proximity to the monitor.
I am using "non-shielded car speakers", two 8" subs below the monitor and two 4" speakers above. I am having no troubles or see any effect from the magnets. With that said, I did order cancellation magnets to be on the safe side.
You can shield speakers 3 ways (maybe more). One, buy already shieded speakers. Two, buy cancellation magnets (parts express and other sources, fairly cheap), and three, buy a material to shield speakers (mu-metal, expensive).
hope this helps
ss