Yes, you can use Botox to get rid of bunny lines. In fact, Botox treatment reduces the appearance of any other lines and fine wrinkles you may have, including forehead wrinkles, frown lines and crow's feet (the expression lines around your eyes caused by repeated facial movement).
Botox is a brand name for botulinum toxin. Other brands available in the UK include Bocouture and Azzalure. The products work by temporarily paralysing injected muscles so they can't contract. This allows them to relax and smooth out wrinkles that were previously caused by these contracted muscles.
The effects of Botox are temporary; after a few months, your skin will return to its previous state once more. However, many people find that their first round of cosmetic treatments makes a significant difference to their expression.