Not with the carbine stock you have chosen. The carbine receiver extension (buffer tube) is dependent on the desire for an adjustable stock. The rifle length gas tube is more of a function of the barrel length. Those terms are not dependent on each other. The buffer mass must be balanced with the proper amount of gas to cycle the rifle.
When you get your barrel, measure the gas port, preferably with numbered drill bits. Don't assume that the port will be drilled to what they said it should be. Many times they will be fine, but it is a very common area of malfunction.