What software can combine multiple photos for super-resolution?

Yes. Dedicated super-resolution software exists for combining multiple similar shots into a higher-resolution image. From the suggestions given, options include PhotoAcute and Super Resolution GUI. There is also an ImageJ plugin that can perform super-resolution, though the cited plugin is limited to black-and-white images. In general, this process works best when you have multiple aligned photos of the same scene with slight sub-pixel differences and minimal subject movement. If your source images differ too much or contain motion, results may be limited.