Nothing to stop you hand sewing a quilt but it will be a big job, maybe plan a lap quilt, then if you are still loving it, extend as you go. A wall hanging or framed quilted panel is another option for a first project.
While I do lots of machine sewing/quilting, some years ago I made a hand quilted, wholecloth jacket and the quilting alone took 450 hours and that didn't include assembling the jacket when the quilting was completed. You will need wax (to coat the thread), small 'quilting' needles, good quality thread, several thimbles of varying sizes and sharp thread snips.
My finger tips used to bleed even though I used leather thimbles and I found it worked better if I changed fingers to give the bleeding ones a chance to heal but by the the other fingers were now bleeding. I used to tape my finger tips under the thimbles but of course, the needle eye end would still penetrate. It was a painful project but I persisted, thanks to help from my family as some household chores just weren't possible.
Don't let this put you off though, I only mentioned this to give you an idea of what to expect. Most of all, have fun because you will have a nice quilt at the end.