In fact, they wish you would! The International Space Apps Challenge is looking for folks to create Apps for smartphones and tablets based on any aspect of space research and exploration. In fact it goes beyond that, they are looking for practical applications that will take data from space agencies around the planet and use it to resolve real world problems. Early warning of dangerous weather events as seen from satellites, air and noise pollution mapping, using networks of cell phone as a large aperture telescope are just a few of the recommended ideas. The challenge has not kicked off yet but you can sign up and start submitting ideas now.