Silverfish do not pose a direct threat to human health, nor do they carry any diseases like mosquitoes and ticks. They also do not have the anatomical parts to bite or sting.
However, certain individuals may experience allergic reactions to silverfish, though cases of severe allergies are extremely rare. For the most part, these insects are nuisance pests that are more annoying than anything else.
The Short Answer
No, silverfish are not harmful to humans or pets. They do not bite, sting, or transmit diseases. However, they can damage belongings like books, clothing, and food supplies.

