Yes it is very possible, since the only setup i have done this BCNM with is DRG/WHM DRG/WHM PLD/WAR.
Yag Drink each. (Preferably 2)
The fight itself is very easy untill around 90% when he starts to hit like a truck and spams TP moves like theres no tomorrow.
What we do is have the DRG's Hold TP just before we get to that 90% mark, then after it we unleash 2 Penta's that will knock off a chunk while the PLD Sentinals, then both DRG's should be spamming Healing Breath while the PLD is using some of thier Hi-Pots.
It can get pretty scary if you get unlucky and he decides to spam that Aoe move and someones Wyvern dies, but you should be able to ride it out.
80 Hunter - 80 Death Knight - 80 Paladin FFXI:
75 Dragoon - 75 Samurai - 75 Paladin FFXIV 1:
50 War/Pld/Brd/Mnk/Drg/Smn/Sch/Bsm FFXIV 2:
50 Thm/Cnj Tera:
60 Slayer - 60 Lancer - 60 Berserker GW2:
80 Twilight Guardian