Yes, Lyme can cause bursitis! Lyme is an inflammatory infection - the inflammation is even in between our cells!!!
Even the Johns Hopkins medical center says this:
"During early infection, migratory arthralgias and pain in
bursae, tendon, muscle, or bone occur in the majority of patients."
Can be found in the bottom 1/3rd of this page:
www.hopkinsarthritis.org/arthritis-info/lyme-disease/lyme-signs-and-symptoms/ And more lot more information can be found by searching online for "Lyme disease causing bursitis".