The phrase "a temporary housing" is correct and usable in written English.
You could use it in a sentence such as "She had to move into a temporary housing until she found a more permanent arrangement."
MAN CAMP A temporary housing facility for oil workers.
Within nine days, he had been resettled in a one-room apartment in a temporary housing camp.
Global Seminar participants gather with residents, local officials, and relief workers at a temporary housing complex for elderly evacuees in Onagawa.
Two weeks ago, MIT Housing announced that six undergraduate dorms will be undergoing a temporary housing increase for the fall semester.
Today they all live in the same in a temporary housing complex in the grounds of a local junior high school that once served as an evacuation shelter.
Although it was built as a temporary housing experiment, it proved so popular with students it was given permanent status by the Amsterdam authorities in 2011.
Two years later, he's still living in a temporary house the government built in an anonymous cut of jungle.
Sigma Alpha Epsilon, now two steps away from full membership in the Interfraternity Council, has found a temporary house in Allston and is shopping for a larger one in Cambridge.
Migrants are more likely to live in a temporary house without tap water, in a house without concrete roof or a flush latrine than non-migrants.
The couple paid $6 million for a temporary house in the coastal locale, where other high-profile residents include Oprah Winfrey and Beanie Babies billionaire Ty Warner.
"I am still nervous because we're living in a temporary house, but I look at [Madison] every day, and she's a blessing".
