It may be possible that a person can get COVID-19 by touching a surface or object that has the virus on it and then touching their own mouth, nose, or possibly their eyes, but this is not thought to be the main way the virus spreads.
The problem is we do not know.
There is evidence the virus can stay active on surfaces for a number of days. Some reports say 72 hours, others longer. It is best to keep safe.
Better safe than sorry!