Think about it. Isn’t light+eyes and ears+sound just the same in terms of their “influence at a distance”? We don’t feel that as abnormal or magic - simply because we’ve sensors for them and are used to it. But physically speaking light and magnetism are based on electromagnetic forces.
I wonder if that works with, like, jewelry. Could you build up the same sensations if you, say, practically always wore rings with magnets in them?
I think so. I posted this link above about a belt that gives users a sense of direction relative to the Earth’s magnetic field.
I would guess probably! Just less sensitive, I think they put them in fingertips specifically because of the amount of touch sensitive nerves.