I just opened Travelling Fair/Chapel/Alms/Tournament.
Like, on two turns back to back, or in 1 turn?
TF/Chapel on turn 1, trash 4 cards and Alms for Tournament on turn 2. There isn't really a way to do all of that in just 1 turn as far as I can tell.
I think you can do that on Turn 2 of the opening if you get 5/2 and buy Travelling Fair/Poor House/non-Treasure on Turn 1, so you start Turn 2 with a hand of Poor House-non-Treasure-Estate-Estate-Estate. I don't think you can do that Turn 1 (certainly not in a 2-player game), because you need $4 for Travelling Fair/Chapel, but can't buy Alms with Coppers in play, meaning you need $4 other than your starting Coppers. Baker and Borrow can get you to $2, but I can't see how you get the other $2. Maybe when Nocturne comes out, one of the Heirlooms will be a +$ Action card or a one-shot Treasure (like Spoils), and then it will be possible.
Edit: I found one. 6-player game, with Chapel, Horse Traders, Messenger, Noble Brigand, Baker, Lost City, Alms, Travelling Fair.
Player 1: Buys Messenger, gives out Horse Traders (you have 5 cards in deck, Horse Traders in discard).
Player 2: Buys Noble Brigand (you have 3 cards in deck, Horse Traders and others in discard).
Player 3: Buys Noble Brigand (you have 1 card in deck, Horse Traders and others in discard).
Player 4: Buys Lost City (you have no cards in deck, Horse Traders and others in discard).
Player 5: Buys Lost City (you reshuffle and draw Horse Traders).
You: Play Horse Traders, spend Baker coin, buy Travelling Fair/Chapel/Alms/Tournament.