Yes, as a matter of fact! I checked out of curiosity. The Fire Axe is under Tools(Costs 1 Living Log, 2 rope, and 3 Flint), the Flare Gun(3 Nitre, 5 Stinger, 1 Electrical Doodad) and Endothermic Match(2 Nitre, 4 Sticks, 2 Nightmare Fuel) are under Science, and the Lollichop(5 Honey, 4 Sticks, 5 Nightmare Fuel) is under Fight. All recipies are unlocked with the character, so assuming you can get them early on, you should have no trouble with remaking them