Can you get a house on elder scrolls IV oblivion

At any town except for Anvil and the Imperial City go to the Count or Countess and ask him/her about it .


In the Imperial City go to the Market District (north east of the Palace District), go to the shop named the Office of Imperial Commerce and talk to the woman about buying a house (it's 2000 gold).


In Anvil go to the Count's Arms (an inn opposite the main gate), talk to Velwyn Benirus and ask about Benirus Manor (it's 5000 gold).