No, you just have a graphics processor that is not meant to play games. The Core i3 is a fine computer processor with a graphics chip built in to the processor itself. It's not really a card, but is an integrated graphics processor - it is not meant for playing games. Even newer adventure games have higher graphics requirements.
Especially if this is a laptop, there is nothing you can do. If it were a desktop you might be able to install a stand-alone video card.
Heading for the gardens!