I guess it's possible. I did it on my 70 twink by farming dailies (QD, Netherwings and fishing). No dungeon runs but i trandfered a +100% guild rep tabard though. I think it took me 2 weeks or so. So at 80 with tourn dailies + fishing + tuskars + sholazarr dailies, it would take you 1-2 weeks i guess.
GL!