COVID-19 is unlikely to bind to ocular surfaces:
Jul 2020 Ocular Surfaces
'....The evidence suggests that coronaviruses are unlikely to bind to ocular surface cells to initiate infection.'.The ocular surface, coronaviruses and COVID-19 - PubMed
The ocular surface has been suggested as a site of infection with Coronavirus-2 (SARS-CoV-2) responsible for the coronavirus disease-19 (COVID-19). This review examines the evidence for this hypothesis, and its implications for clinical practice. Severe Acute Respiratory Syndrome Coronavirus-2...www.ncbi.nlm.nih.gov
Doesn't mean it cant travel in tear ducts or other "non-ocular" components of the eye...