I think it's not a great question. There are too many variables in the analog chain that impart their own colorations for one to say per se that "vinyl" has a sound of its own. On the other hand, tape definitely has a sound of its own, which makes it hard to know whether the ability to distinguish one from the other is due to the "sound" of vinyl or the sound of tape.
A poor turntable that blurs rhythm and pitch, a tonearm that is poorly aligned and adjusted, a badly tracking cartridge, a poor tonearm/cartridge match that results in bass distortion, bad or damaged LPs with ticks, pops, crackles: are these (some of) the sounds of vinyl? Since they all can be eliminated or significantly ameliorated, I would say not.