Can you get coronavirus through a wound? for example, you have a cut on your hand and touch an infected surface.

No: It is not acquired that way. It's pattern of spread is similar to a flu.

Per Chinese CDC:: “Respiratory droplets and contact transmission are considered to be the most important routes of transmission” per “Emerging Microbes and Infections.” COVID-19 RNA was found in anal swabs and blood samples. Transmission “via respiratory, fecal-oral, body fluid routes could be possible.” http://www.cidrap.umn.edu/news-perspective/2020/02/studies-show-covid-19-likely-has-multiple-infection-routes.