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No. A pulsar is a remnant left behind by a supernova.
A supernova remnant.
Because it IS a supernova remnant.
It's the visial remains of a star that expolded and was seen in 1054. Designated SN 1054.
Currently the expanding cloud from the supernova remnant is about 10 light years across.
The supernova remnant will either be a neutron star or a black hole.