Anointing an object certainly appears in the Bible, and is part of ancient Jewish practice:
Then the Lord said to Moses, ‘Take the following fine spices: 500 shekels of liquid myrrh, half as much (that is, 250 shekels) of fragrant cinnamon, 250 shekels of fragrant calamus, 500 shekels of cassia – all according to the sanctuary shekel – and a hin of olive oil. Make these into a sacred anointing oil, a fragrant blend, the work of a perfumer. It will be the sacred anointing oil. Then use it to anoint the tent of meeting, the ark of the covenant law, the table and all its articles, the lampstand and its accessories, the altar of incense, the altar of burnt offering and all its utensils, and the basin with its stand. You shall consecrate them so they will be most holy, and whatever touches them will be holy.
Exodus 30:22–29 [NIV]
It's also part of the Catholic liturgy for consecrating an altar Reference. The oil of chrism which is used is a fragrant oil rather like that described in Exodus.
However this use of oil is part of the consecration, the setting-apart, of the object to God's use. The objects would not be put to any other use whatsoever. Whether a house is set apart in quite the same way may be open to question, and most house-blessings (such as the one I was involved with recently) would involve sprinkling1 holy water.
1 Sprinkling is a technical term, which refers to splashing water around with a brush or some sort of shaker. It's not usually a delicate operation!