No. Do not run the risk of blockage or the awkward conversations you might have to have with members of your household or a plumber. Depending on the mass of hair you’re getting rid of, there’s chance of the flush backfiring.
Hair can clog your toilet, sink or shower drain. During the shower, multiple strands of hair slip down the drain, and they are unable to make their way to the sewer pipes.
At this point the water in the toilet may have gone down. If so try flushing again. If the toilet is still clogged repeat the previous steps by adding more soap and more hot water.