I'm not sure there is a definitive answer for your question @celia16. Here are a couple of references that talk about the topic.

"Diabetes and prediabetes (including both impaired glucose tolerance and impaired fasting glucose) frequently are associated with pure small fiber neuropathy; however, concomitant large fiber involvement is seen more often [6]."
--- Diagnosis and Treatment of Pain in Small Fiber Neuropathy: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3086960/

"Does diabetes cause large fiber neuropathy?
HbA1c and the AGEs CML and hydroimidazolone are important risk factors in the development of large- and small-fiber dysfunction in long-term type 1 diabetes. Peripheral neuropathy is one of many complications of type 1 diabetes, resulting in significant morbidity and mortality."
--- Small- and Large-Fiber Neuropathy After 40 Years of Type 1 Diabetes: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3816884/

You have to have a biopsy to be tested for small fiber neuropathy.
Yes, diabetics can get it. I am not diabetic.
I pray no one gets it. It affects the organs. Bladder, kidneys, gastroparesis and heart. The cardiologist and electrophsiologist can’t control my blood pressure it’s either high, low or perfect. I spent two weeks at 159/99 headaches everything. They gave me blood pressure medicine then all of a sudden bottoms out 90/60 nausea once again and now it’s back to normal. I also have arrhythmias (heart beats too fast or too slow). Once diagnosed with cardiac autonomic neuropathy called CAN they give you eight years to live. I am four years in we shall see. My opinion is only God knows when you are going to die. We are having problems controlling the arrhythmias the medication I am on no longer working. Trying to find something new. The doctor said it really makes it difficult when your nerves are not functioning right.