Yes,DDE can be installed on nearly every distribution (I use it on Arch).
For Ubuntu,see instructions here: https://launchpad.net/~leaeasy/+archive/ubuntu/dde
The Deepin Appstore does NOT work on other distributions but all other apps work and are included in this repository.
I don't use Ubuntu so I don't know,if the Deepin Apps which aren't required for the DDE are automatically installed with the commands at the linked page but if not you can do it manually.

Edited by oscararg at 2017-9-10 16:11

Yes, I used Ubuntu (the main distro), and added it Kde, Xfce, Lxde, Cinnamon, all of them as optional environtments, you can even download Kubuntu, Xubuntu, etc from Ubuntu and install them with the main desktop, but sometimes this cause duplicate apps (like having two archive managers, two software centres, etc) so its not recommended.
The best way to install Deepin desktop on Ubuntu is doing it "part by part". Install the desktop first, only the desktop. If you install the complete system as Nipos said you will end having Deepin 15.4 alongside or even destroying several ubuntu libraries. Do this instead:

All done, reset and you'll have Deepin environtment as login option, if you want the rest of the deepin apps, use synaptic package manager, check the new Deepin repositories you'll have and add the apps one by one, to not compromise your system.

thanks, going to try this out