Hahaha. I fucking
wish.
No, unfortunately. Not a single cosmetic / misc released after I want to say 2015 can be crafted, either from specific blueprints or random crafting- Those hats, (craft-hats) are dirt cheap- If you bought a single TF2 Key in the modern day, you could get enough refined metal to buy yourself 3 craft hats/miscs for every class in the game, on top of some strange weapons and maybe a cheap taunt.
In comparison, you would need 7 keys to buy the Battle Balaclava, and at least 50 to buy the Burly Beast- And that's nothing compared to what other bullshit you may want to buy- considering every Mann.Co Key is $2.55,
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...Looking at these prices makes me upset, lmfao.