It is best not to use a strong neodymium magnet to test the magnetic attraction of meteorites. A less strong ceramic magnet or compass is recommended. But even if the magnets react, if there are no shiny metal particles in the meteorite profile, there is still no way to identify it as a meteorite.
Meteorites attract magnets because they contain iron and nickel metals, while ordinary rocks on the Earth's surface do not contain iron and nickel metals (because they are oxidized).
But even so, there are many rocks on Earth that are naturally magnetic, most famously because they contain magnetite (iron tetra oxide) - the ancient Chinese used it to make Sinan, which is where the compass comes from. Yes.