I don't think so but I used to think so. Example last year my little gnome had a glorious few weeks of drinking and staggering around about 8 times and then one day he could not get the quest. Said I skipped ahead and to come back next time. I made another gnome on another account and ran him. So this year I ran the last made one a few times and then remembered the first gnome so logged into him and was able to race again!! After running about 7 races together and separately I logged in today to race and was told neither could race - to come back another time and I must have skipped ahead. I think they must need to rest. For some reason the first one was able to race again this year. I will try again tomorrow but at least its easy to make a new one - just don't choose to go thru the tutorial lol.