Yes. Possible but chances are very small according to reports.
If someone sneezed or coughed near a parcel or food package and you touch it within a few hours, it is possible to get Coronavirus infection from parcels and packages.
But, in practice, most parcels and food packaging seem safe and no conclusive real world evidence has been published so far to indicate that packages spread infection widely.
In experimental conditions, Coronavirus has been shown to survive for upto 72 hours. The virus is “more stable on plastic and stainless steel than on copper and cardboard”.
In laboratory conditions “On copper, no viable SARS-CoV-2 virus was measured after 4 hours . On cardboard, no viable SARS-CoV-2 virus was measured after 24 hours”.
In the artificial conditions of the lab “The longest viability of viruses was on stainless steel and plastic; the estimated median half-life of SARS-CoV-2 virus was approximately 5.6 hours on stainless steel and 6.8 hours on plastic”.
Solution: If you are worried , and if possible, you can try leaving parcels for 24hrs before touching them with bare hands. Alternatively, try wearing disposable gloves to remove packaging.
1.NEJM. Aerosol and Surface Stability of SARS-CoV-2 as Compared with SARS-CoV-1. April 16, 2020. N Engl J Med 2020; 382:1564-1567. DOI: 10.1056/NEJMc2004973
3. CDC. How It Spreads.