Board Thread:Morrowind/@comment-26893431-20151202221121/@comment-6881629-20151203114732

Kind of but it takes a while at the end of the Great House questline you can make your own stronghold, i always used Dura gra-Bol's House she's outlaw so you don't have to feel bad or get a bounty from killing her.

Morrowinds respawn is very different to the newer games a lot of people just use the ground to store their stuff on. Most containers that have been looted also don't seem to ever respawn, when starting a new game i would take a lot of good items from the crates around Balmora and they never restocked (i would test it yourself though just in case).