would you do this in my position?

2000 player tourney. 900 ppl left. $200 railbird freeroll. blinds 30/60. ave. stack 2700-3800.

hand went like this... 3 ppl including myself call a preflop raise from a short stack for 180 chips. flop comes with a A(d), 5(h), 10(h). I was holding a 6(h) and 8(h). The shortstack that made the preflop raise went all-in for 560 chips. Everyone folds except me on the button. I had 1460 in chips. I called going for the flush and lost... would you have done that? odds were in my favor, correct? He won with a pair of aces. Not a bad all-in by him either. He did a good play imo.

No, the odds were not in your favor. You're only about a 35% to make the flush, so you're a big underdog.
You shouldn't call a potsized bet on just a flush draw.

Chris T is wrong, the odds WERE in your favor, since you had 2:1 pot odds and got to see the turn and river for sure. You were a 1.86:1 underdog with a flush draw for the turn AND river, so you made the correct call. But you could have avoided all of that by just folding that weak hand preflop.

The percentage didnt even matter. You dont call a all in bet if you dont yet have the winning hand. As quoted in the movie rounders "Fold when you know you are beat". By him going all in on that flop, he only could have two hands, aces, or the flush draw. You on the other hand had a low flush draw. Better luck next time.

It was way to early in that match to be playing such marginal hands.......
Tick Tock............

This isn't a cash game. You only have so many chips in a tournament and you can't put a large junk of them in as a huge underdog.

Question: If I'm getting 4:1 pot odds and I'm only a 3.4:1 underdog, should I call for 2/3 of my stack?

Between the answer Howard Lederer gives you and the one Phil Hellmuth gives you, I'll go with the latter.