Is It Possible?

Yes, it is possible. The map thing can be made either with images that you create or by scripting. If you really need this then I'll explain the scripting part to you later. (Skype:admin_jo66) The teleporting is some pretty easy thing, you most likely already had linear functions in school and know about x and y. Getting x and y of the mouse is easy as you can see here: http://wiki.roblox.com/index.php?title=API:Class/PlayerMouse

I'll explain all that with examples in the following script.

-- This script has to be in PlayerGui
plr = script.Parent.Parent
mouse = plr:GetMouse() -- Method to get the mouse of the player.

mouse.Button1Down:connect(function() -- Event that's being called whenever the left mouse button was set down. You may also use another event specific for GUI.
    local x = mouse.X -- The X coordinate of the mouse will be the X coordinate.
    local z = mouse.Y -- The Y coordinate of the mouse will be the Z coordinate as the map is looking on the ground like a bird from the sky.
    local char = plr:WaitForChild("Character") -- Waiting for the character to exist and declaring the variable
    char.Torso.CFrame = CFrame.new(x, workspace.Baseplate.Y+workspace.Baseplate.Size, z) -- Changing the Position would kill the character.
end)

If you have any other questions, feel free to ask!