It is correct and can be used in both spoken and written English.
Example: I am considering standing for office in the next election.
babog said: "Naomi, stand for office.
Still fewer of us stand for office.
Then Mikva said: In this country, you don't stand for office.
Lord Sugar must give up this TV lark and stand for office.
Just over six weeks ago, the businesswoman agreed to stand for office for the first time.
If convicted he would not be able to stand for office in the next election.
But Thornton, who we will see more of, has not stood for office.
Mr Johnson pledged to end rough sleeping when he stood for office in 2008.
Alvin's father, as a younger man, stood for office in the local council, but lost.
Vidal, who twice stood for office as a Democrat and was born into the political purple, writes with inside knowledge.
When incumbent mayor Ada Colau stood for office in 2015 it was the first time tourism had been presented as a problem on a political agenda.
