No, "to articulate yourself" simply does not sound right to my (native U.S.) ear, at least not with "articulate" in the meaning of "speak clearly." That's just my opinion, I'm not an expert.
One could concoct a far-fetched use of a different meaning of the word. "OK, C-3PO. I've unpacked you, assembled one of your arms according to the directions, and turned your power on. Please finish the job. Use that arm to assemble your other arms, legs. Your joints should just snap easily without tools. Go ahead and articulate yourself well."