Steve,
No. There are several models that are built short scale, including some custom models. There are Series I, Series II, Distillate, both Signature Series (Stanley Clarke, Mark King- if specified on the MK), and I believe even some Spoilers and Persuaders, though I believe these last 2 are only Medium (32) Scale. Again, there are probably Short Scales of every model, floating around out there, but you're more likely to come by a S1, S2, or Signature Stanley Clarke in a short scale. For 5k, you ought to be able to find a great used S1 or S2 4 or even 5 string, if that's more your speed.
There was a Series II with front LEDs on Craigslist in Dallas that the seller went as low as $3800. I would hold out for a S1 or SII if you don't mind a little wait, it's well worth it, trust me, I have firsthand experience, as do many of the members of the club.
Good luck in your Quest and hold out for a S1 or II, you won't be sorry!
Peace;)
Frank