Happily, no. Although it works by leaving a light coating of powders, a lot of consideration went into the design to keep it neat and tidy to use! The inclusion of a lining keep hands powder-free, and the choice of felt really limits powder seepage.
Try to apply the minimum you can to still have it work–especially when using it in a printer. You will need to tap and apply a lot more powders when stamping onto fabric or wood than when inkjet printing onto vellum, which requires an extremely minimal coating. If you do see any visible traces on your final project, we recommend the Perfect Cleaning Cloth, a very high quality washable micro fiber cloth which attracts any visible residue like a magnet.