Neural Network question

For college I have to make a game using C# and plan to make a snake clone (as its one of the few types of games listed). I’m wondering if its possible to create a neural network to learn to play the snake game and other games without having contrasting data. What I mean is will it apply what its learnt from snake to say flappy bird? Is it possible to tell the network that’s its a new game and start from scratch while retaining the data from snake?