Is it possible to get the ping of a player?

In a local script you can do this, its a basic way to do it, check the output to check your ping

local currentPing = tick() -- epoch time
while wait(1) do
    currentPing = (currentPing()-tick())
    print(currentPing)
end

If you wanted FPS then you could also do this

while wait(1) do
    print(game:GetService("Workspace"):GetRealPhysicsFPS())
end

I agree with DevScripting for FPS, but not for how ping works. Ping, is a time that is calculated between source and client, Here's my ping script, it's simple but usefull

http://www.roblox.com/Player-Ping-Meter-item?id=318169331

Here's the thing, if you don't want the model. Create a RemoteFunction that returns true on any condition, ask the client to invoke at that remote function then count the time it took for the remote function to return true. That's all