Yes, you can wear sneakers with shorts. It is very popular to wear athletic shoes with shorts. The matching of stylish shorts with sneakers not only adds fashion to your appearance but also a casual and fashionable look.
If you are not comfortable wearing sneakers with classic kicks, try wearing stylish high top trainers or low top sneakers that have a sporty look. Wearing these kinds of sneakers will still give you the casual and sporty look that you are looking for.