Yes.

The white hue cable has two slightly different size plugs. One still goes into the hue controller (white box on this new picture). Cut the other (plug end)off and stick the wires in the other end of the transformer making sure the polarity is correct. The grey dashes indicate +.

https://i.imgur.com/FKPr4DH.jpg

Also... I say this as a (half arsed) electrician. Make sure you’ve safe isolated that circuit. If you can’t test it or you are in any doubt at all cut power to the whole house. Don’t let that worry you it’s dead easy and it’s really worth doing. Ive got them above and below all my cupboards now and I don’t use the ceiling lights anymore. They are all on a sensor which means they turn off when not in use.