I think you can just run it on intel intergrated graphics, but you can humbly forget about using the new GLSL features, making decent graphics level games with the BGE, or playing BGE games with half decent graphics.
For the most part, yea. An old intel integrated graphics card can run up to 60,000 - 70,000 faces (about 100,000 polys) with a decent frame rate if the game is set up correctly.
However, blender will never run above 55 fps, you will not be able to use GLSL, and it may act glitchly (but it depends on the version you have. A 2003 intel driver works very well, but 2005 intel driver crashes blender often).