No, hair does not continue to grow after death.
The appearance of hair growth after death is an illusion. It's caused by the skin drying and shrinking, making the hair shafts appear longer and more prominent.
The body's cells, including hair follicles, stop functioning after death. This means that the hair follicles are no longer producing new hair cells.
The process of hair growth requires a constant supply of nutrients and oxygen from the bloodstream, which is no longer circulating after death.
While hair may appear longer after death, this is simply due to the skin retracting, not actual growth.
The same principle applies to nails. They also seem to grow longer after death, but this is just an optical illusion.