No. What purpose does a mouse serve with nothing to process its clicks? What good does a monitor do with no computer to send it information? Input and output devices are peripheral devices and need to be connected to the processor to serve a purpose.
A computer that is not part of any network, typically Local Area Network, is considered stand-alone computer. Please note that, depending on the situation, a computer that is not part of LAN, but has access to the internet may or may not be conisdered a stand-alone. The term stand-alone is usually by computer security people. A computer that is not part of LAN is usually configured in such a way that all unnecessary ports/services that can allow access to the computer are blocked in order to secure it.
The desktop stand-alone may come with devices on board such as compact disks, digital video devices, and digital video recorders, in addition to input and output devices such as keyboards, storage devices, monitors, and printers.
a stand alone machine is a machine which cannot communicate with other computers, i.e is not connected to any sort of network (this includes a home or corporate network, and the internet)
A personal computer is stand alone and covers the ones in private homes. Networking means one or more computers are linked in the same building called a LAN Local Area Network. Networking computers that are not in the same building is done over radio waves and is called WAN Wide Area Network. In your home you can network two or more computers by linking them so you can all use the internet at the same time without having to pay extra internet fees.
With stand-alone computers, you have to manually transfer files to view it on another computer. If you have a file server though, everything is saved to the same place and any computer hooked up to it can open the files