Yes. You're not limited to a plain black-and-white square. You can set a solid color or gradient, choose the shape of the individual modules (the little squares), and pick a different shape for the corner "eyes" and their frames.
You can also add a logo in the center (either one of ours or your own upload), choose from decorative frames with a call-to-action text like "Scan Me," add a margin, and adjust the error-correction level so the code still scans even if it's partly covered or printed small.