✪ My answer is yes. Graphite is simply conductive. Thus, it can be certainly designed for conductive textiles, which highly depend on the application or the attributes of such conductor in case you consider.
✪ Among others, graphene and carbon nanotubues can be also used, particularly for theoretical research, and it can be fairly prototyped for scientific practices.
✪ For high conductivity, precision, and durability in applications of your interest, microelectromechanical systems may be useful and for lower conductivity, design of an engineered composite is an option.
Most carbon materials like graphite, CNT, carbon blacks, graphene etc. can be used in conductive inks. And these are pretty common.. visit your SEM lab where you can find water based graphite inks..