A fomite is a contaminated surface, and it is possible for pathogens to be transmitted from person to person via fomites. However, person-to-person transmission will always be the number one mode of transmission for any infectious disease. Number two will probably be vectors, like mosquitoes. Transmission via fomites though possible isn't really that common since it can only occur if three conditions are met: 1) an infected person contaminates an inanimate object; 2) the pathogen survives on the inanimate object long enough to come in contact with another person; 3) the new host actually touched a fomite and then proceeds to touch his/her face without washing their hands. There are many places in this transmission process where prevention can stop the chain, and COVID-19 being a virus makes step 2 even less likely as viruses can't survive and propagate without a host.
Most (all?) outbreaks that I've read of are results of direct contact between positive cases. I don't think any outbreak that has happened has been traced back to contaminated surfaces.