It's not recommended, but I do it and have for years. Presuming you're in the USA with electrical circuit breakers in your home - As long as you do not over draw amps on any circuit (usually 15 or 20 amp breaker) you should be okay. If this is just computer related equipment, it's doubtful you will overload the circuit or wall plug. My computer room has three wall double plugs (one has a 6-plug adapter), all on the same wiring circuit as my guest bathroom on a GFI - an occassional hairdryer or lightening transient will pop the GFI - my computers (2) are on UPS (4 total UPS) as well as are my fax, phone, cable modem, WiFi and Vonage routers, printer, scanners, lamps, calculator, speakers, external hard drives, etc.
I also have the same situation in my home office which has about the same number of components plugged at any given time with 6-plug adapter, three surge plug strips, UPS, (2) computers, (1) laptop, (4) printers, phone, calc, etc. etc. etc.
Of course, not all these items are always in use - most, but not all, on a continuos basis. If you have any equipment that draws a large amp load, you can always physically feel the plug to see if it is "hot" or "warm" to the touch - if it is, I wouldn't recommend continued use.