Can I transfer a function from a script to a local?

No you cannot. See this answer..

It isn't possible to send a function over the network, because functions can change local variables. That means any use of the function would somehow involve reaching into another computer's memory (which is at best dangerous, if not impossible)

Functions are sent across the network for typically several reasons

1) they're a method of a class. In that case, you can just annotate objects with which class they are, and setmetatable on the receiving end according to the annotate class (see linked answer for example code)

2) you're asking them to invoke a particular function from some set of functions. In that case, just say which function (e.g., by the name). The receiver has to look it up in the table:

-- module RemoteFunctions
return {
    printTest = function()
        print("test")
    end,
}

-- client
remote:InvokeServer("printTest")

local Fs = require(RemoteFunctionsModuleScript)

-- server
function remote.OnServerInvoke(player, fun)
    if not Fs[fun] then
        return "invalid function name"
    end

    return Fs[fun]()
end