Você está procurando uma solução KVM sobre IP , que geralmente é fornecida como hardware externo ( assim pode ser adicionado a qualquer desktop).
KVM over IP devices use a dedicated micro-controller and potentially specialized video capture hardware to capture the video, keyboard, and mouse signals, compress and convert them into packets, and send them over an Ethernet link to a remote console application that unpacks and reconstitutes the dynamic graphical image.