Is it possible to clone an object to be placed infront of the torso?

Yes it is possible. If you create two parts, one named a and another b, and run this code in command bar, workspace.b.CFrame = workspace.a.CFrame + workspace.a.CFrame.LookVector * 10, it will work.

To fix your code, to not only do this but actually work because I've spotted multiple errors in it, here you go.

local Part = game.Workspace.Test
local Players = game:GetService("Players")
local UIS = game:GetService("UserInputService")
UIS.InputBegan:Connect(function(input)
    if input.UserInputType == Enum.UserInputType.Keyboard then -- Checks if the input was related to a keyboard
	    if input.KeyCode == Enum.KeyCode.Q then
		    if Players.LocalPlayer.Character then
			    local torso = Players.LocalPlayer.Character:WaitForChild("Torso")
			    local NewPart = Part:Clone()
			    NewPart.Parent = torso
			    NewPart.CFrame = torso.CFrame + torso.CFrame.LookVector * 10 --10 is the distance, in studs NewPart will be away from torso
			    game:GetService("Debris"):AddItem(NewPart,3)
		    end
	    end
    end
end)

Hopefully this works.