Can calligraphy be engraved on the stitching?

You can't. Calligraphy works can't be written on stitches, which will lead to blurred calligraphy. Calligraphy is an art of writing Chinese characters with a long history. It developed from Oracle Bone Inscriptions, Shi Guwen and Jinwen (Zhong Dingwen) to Da Zhuan, Xiao Zhuan and Li Shu, and then to cursive, regular and running scripts fixed in the Eastern Han Dynasty and Wei and Jin Dynasties.