yes i think it could - because they can cause pretty much any auto-immune disease - which i think SFN normally is - But your punch test was negative - right ?
so are you asking -
"Could bart and/or lyme cause SFN like subjective symptoms - burning, tingling numbness, pain, etc - but without a positive punch test for SFN?"here again i would say yes - bart is long known to be associated with various pain syndromes and forms of nerve damage - and Lyme in particular is known for its ability to inflame and damage nerves - both big ones as in cranial nerve palsy, or radiculitis - and for tingling, burning pain sensations eg the smaller nerves in the skin -
this table shows other things that are known to drive SFN
Potential causes of small fiber neuropathy and related testing
Causes of small fiber neuropathy Evaluation
Diabetes, impaired glucose tolerance 2-h glucose tolerance, HgbA1c
Sjogren’s syndrome SS-A, SS-B, salivary gland biopsy
Lupus connective tissue disease ANA, ANCA
Sarcoidosis ACE level
Vitamin B12 deficiency B-12, methylmalonic acid, homocysteine
Celiac disease Gliadin and transglutaminase antibody
HIV HIV serology
Paraprotein/amyloid Serum immunofixation, quantitative immunoglobulins
Alcohol abuse History
Chemotherapy History
the same paper is v pro punch biopsies - and claims an 88-92% sensitivity for the test
thats pretty good compared to lyme testing for instance - but not perfect - will miss 1 in 10
so its possible to have SFN and not test positive on the punch biopsy - though i do not know what the gold standard they use in this case as reference
reading the paper it seems like its very much a sliding scale - done by simply counting the number of nerve fibres in a certain area - and calling the result positive if its below a certain threshold - so its possible to have some level of damage to the nerves without a positive result
https://www.ncbi.nlm.nih.gov/pmc/articles/pmc4348533/#!po=46.4286