It would be interesting to try, although I suspect it wouldn't work nearly as well
.
Sculptors can make chairs, small tables, toilets and sinks.
I don't think I've seen a bed at the junkyard either, although there are sofas, so Sims could nap even if they couldn't sleep. I've not played enough with Supernatural + Ambitions to notice whether rocking chairs appear as random junk. It would all be smelly and horrible, of course, and any appliances would be broken. Repairmen used to be able to clean up and fix scavenged items (my Legacy family exploited that shamelessly), but that feature got patched out and I don't think it's reappeared.
I think I've only seen kleptos swipe lights and small objects from inside houses.
Money wouldn't be a problem, though: they could still collect gems and metals and send them off for processing. Living in the Lap of Luxury ought to be doable in a reasonable timespan.
Edit: I've just remembered the film star's trailer. Now that would make things a lot easier. And one of the celebrity perks is a bed...