Yes, it is possible to place web games onto your sites here at InfinityFree, provided that the games comply with the Terms of Service - InfinityFree.
Also, consider file sizes. If your game uses files greater than the limits of what’s allowed, it may not work without some modification. The topic below, in the section The file exceeds the file size limit, you will find the file size limits. In the section below, you will find ways to reduce file size.