This tape is made of fabric with an adhesive at its back. The mix of cotton and elastic allows easy stretching so that it perfectly fits on the injured body part. The extent of the stretchability would indeed depend on the brand.
FibaFuse - Paperless Drywall Tape
Ideal for temporary repair of hems and seams, this double-sided clear tape clings to fabric, leather and paper without leaving residue.
Res-Q Tape™ Double-Sided Clear Adhesive Tape
Adhesive Tapes Selection Guide: Types, Features, Applications
FibaFuse - Paperless Drywall Tape
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Hem Tape, 2 Pcs 140 Yards Iron-on Hemming Tape, Fabric Fusing Tape Adhesive (Black White)
Aleene's Fabric Fusion Permanent Fabric Tape 1 IN, Permanent
Custom Poly Tape, Printed Polypropylene Tape
The Best Duct Tape Reviews by Wirecutter
Tapes and Adhesives for a Variety of Different Applications
Adhesive tape manufacturing/production