Yes I can. That's the way we are living together in office.So many of your colleagues you very well know is not trustworthy but yet you have to live with them.
There are different situations in life. In a family it's a must that all the members need to trust one another but in an external environment one has to exercise his judgement,experience and common sense to trust one! I would follow the policy of 'Trust and Verify'!
Very difficult to live with someone you don't trust on a permanent basis but if it is temporary I think that I can handle the situation and get along...