I've done cuttings of various Dracaenas that are that size, no problem. The existing leaves can remain on the plant for years, I wouldn't want to look at cut ones for that long. I also posted some other info where you asked about this in another post, Pamela.
Sy, your plant doesn't look big enough to cut, IME. There's hardly any length of stem to devote to being submerged in soil (or water) to form roots. It is 1 plant with 3 branches.