I don't understand your question. Lapis lazuli is a natural gemstone (see http://www.minerals.net/gemstone/lapis_lazuli_gemstone.aspx)
If you are asking whether it can be synthesized by man, A synthetic simulant has been created using the Gilson process. Although Gilson Lapis may look similar to Lapis Lazuli, it not made of the same composition, and lacks the natural random patterns displayed in most true Lapis Lazuli. Howlite and Jasper may also be dyed an ultramarine blue to simulate Lapis Lazuli.