You should write what fans you have and what hardrives you have, they take Energy as well.
As for your question, that is a likely possibility, but there are other options: Bad connections between components, Viruses, Insufficient system requirements, Directx compatibility problem and so on.
I would advise you to Check the system requirements of the game, if it isn't in every game, perhaps you should contact the creators of that particular game.
Check your components power requirements (Every component...)