Touched Event on local scripts?

Is there anyway to use the touched event in a local script? I don't see the reason for it not working but here's my code (Very basic stuff):

-- The local script is inside of a part

script.Parent.Part.Touched:connect(function()
	print("Test")
end)

The reason I want to use a local script and not a normal script is because I am making a quest that only starts when the player touches a part but only on the client side not the server side. If this is not possible then can anyone tell me how to call events on the client side without a local script?

Any help appreciated!