Without reading TFA: no. Probably could reach space. Maybe—<i>maybe</i>—orbit, but barely and I'd lean toward no on that, too.<p>Source: Kerbal Space Program intuition (hey, served me well when I took one look at that SpaceX starship design and went "oh that's not going past Earth orbit without an orbital re-fuel and nearly-dry top stage tanks at launch" and, sure enough, that was the plan)