No problem at all. A common hair-dryer uses something like 1200W. Your computer isn't going to go above 500-600W. Monitors, printers, scanners and such are basically negligible in the grand scheme of power things. I also have all my computer stuff hooked up to one socket.
Of course, I have no idea what kind of building standards you have where you live, but in Sweden you can hook up a vacuum cleaner to any wall socket in the house and those can be 2000+ W..