No, not as such. The bacteria needs to enter the epidermis which is the uppermost protective layer of skin. Small cuts and abrasions caused by grit or use of rough brushes can allow the bacteria to enter and from there spread.
You should always avoid using the same brushes, rugs or turnout boots between horses (without a thorough clean first) but with a bacterial infection this is even more critical. To do so is increasing the level of risk of the bacteria entering the epidermis.