Yes. Bed bugs can sit on your bed in the day-light and sit perfectly still. Bed bugs are nocturnal by nature, but they are not limited to staying in the dark. They may be very much like vampires, but direct sunlight does not harm them.
There might be a reason the bugs are coming out in the day. Sometimes it is because of your sleeping habit. Bed bugs are attracted to the carbon dioxide we breath out. If you spend a lot of daylight hours in bed, it could influence the bed bugs feeding hours.