Charged particles - no
IF you direct a stream of charged particles at a magnet they WILL be deflected (but only a little, for normal magnets). But they still end up going somewhere. Normally, they whizz past the magnet with only a minor deflection and don't get trapped in a cloud round the magnet.
IF they get captured, they will spiral in to the pole of the magnet and get captured there, causing minor crystal dislocations, but a particle so weakly-energetic as to be captured by a normal bar magnet will be unable to do more than add charge to the magnet...