I believe you've about as much chance of removing that plant and its roots without knocking down the building as I have of waking up thirty years old again, I'm afraid. I'm rather wondering where the roots go if its one floor up, there's a sizeable trunk or two on that plant... The leaves resemble either Ficus or Schefflera arboricola, although it is hard to decide if its the latter because it's difficult to tell if it has the same composite leaf arrangement.
Whatever it is, if you want rid of it, there's only one realistic approach, and that is to saw or cut it down as close to the base as you can get, then drill into the stumps with a woodbit of suitable size (or a manual drill if you don't have electric, anything to make holes), making holes about quarter to a half inch deep and then applying stump or brushwood killer, either liquid or crystal, and cover with something (upturned pot, sheet of plastic for instance). What products are available where you are I don't know, but two of the most commonly used are SBK, a liquid, and Roundup Stumpkiller - these products are best applied immediately after cutting down. You could try applying lots of salt to the holes and cut surface, but that's usually not as effective so quickly, and repeated/ongoing cutting and salt application will likely be necessary.
Just for clarity, the definition of a weed is simply a plant growing in the wrong place...or one you just don't want for whatever reason.