By Real Estate, I mean a building or house. Not a REIT fund or something like that.

Yes, an IRA can hold a house or building (as long as the IRA owner or their family do not live in the house or use the building for any purpose). However, you would need to find a Trustee who would hold that asset in the IRA, have annual appraisal of the property (which the IRA must pay for), and the IRA must have enough liquid assets to pay for the insurance premiums, property taxes, upkeep, appraisal, etc. for the house/building.