How high of a resolution are you looking for? With tweaks, folks have been able to get 1080 output out of Webtop however 1366x768 really is it's sweet spot external output.
If by full desktop environment you mean a full version of KDE or Gnome, then no. I was able to get Gnome crammed into webtop but it required that I build it off device and remove everything not Gnome. It left no room for anything else and would have forced users to use webtop2sd as it had less than 50MB free space after cleaning the partition. It was actually more limited than webtop. To help put Webtop in a category here how it stands up against actual distros.
Webtop= Lubuntu running Avant instead of the built-in LXDE and most preinstalled apps removed.
Webtop+= Webtop with LXDE as its default so Lubuntu lite.
Ubuntop= Xubuntu lite with a ton of common apps installed.