Invertebrates are very common vectors of disease.
Invertebrates spread bacterial, viral and protozoan pathogens by two main mechanisms.
1. By their bite, as in the case of malaria spread by mosquitoes.
2. via their faeces, as in the case of Chagas' Disease spread by Triatoma bugs or epidemic typhus spread by human body lice.
So the person can get a disease through a vector without its bite as in the case of disease spread through the vector's faeces.