No.
That "Morse code" is the station's licensed call sign, and transmitting such automatically and periodically is mandatory by the FCC, and has been done for a number of years now. It's also done verbally by the dispatchers, but a lot of times they're too busy to do it.
It's usually transmitted without a PL tone, so if your using the PL for the frequency you won't hear it. If you're using the PL and hear it, it must be a mistake, or something that the FCC thought of.