I'm not sure of the odds of it happening ... but there is an increased chance at hospitals, due to the many various bacteria and viruses present. So it's something that hospitals are supposed to be aware of and try to prevent. It's why hospital workers are supposed to clean their hands upon entering and leaving patient rooms, and why some rooms are pressurized.
Covoid 19, MERS and SARS are NOT influenza. These are Cornonavirus.
Coronaviruses are a large family of viruses with some causing less-severe disease, such as the common cold, and others causing more severe disease, such as Middle East respiratory syndrome (MERS) and Severe Acute Respiratory Syndrome (SARS). The typical symptoms of COVID-19 are fever and a cough that may progress to pneumonia causing shortness of breath and breathing difficulties. Symptoms range from mild to life threatening (most cases report a mild illness). Those who are elderly or have pre-existing health issues may be at increased risk of severe infection.