Yes...but keeping green and red give you a closer T5 10000k look.
Green is sort of neutral in k calcs .
10000k can be made with all sorts of
colors which will average 10000k.
White leds adjust color temp using a yellow or yellow/ green phosphor with a blue photon pump . When you want really low K they add some red phosphors.
If you want to do it fancy ..start with the above white/ blue .
See if the overall tone is slightly blue .
Should look something like this:
Last pic.
Then add green to taste.
Then add red. If color gets whiter .add more blue.
Sort of doesn't' matter which blue.
Royal is the usual but overpowering which is why I picked reg blue.
Violets well tone shifts to just a purple over blue
It's an eye thing . violet is still blue but the lower wavelengths stimulate the red receptors in your eye making that deep deep blue look red- blue .ie violet.
Bottom line though is some 10000k look good, some crappy, some blue, some violet.
You need to keep that in mind when choosing it.