Yes, but only an Intel processor will have an Intel graphics chip on it if it's an APU (as opposed to a regular CPU).
An AMD processor will have an AMD graphics chip on it if it's an APU.
However, if your motherboard already has an integrated on-board graphics chip, there's no point in putting an APU on it. Just put a regular Intel or AMD CPU on it, and if you decide you need better graphics performance, buy a dedicated graphics card.