Not one could. One should! It is the better solution
If the power cable is pluggable, replacing the cable is always preferable to an adapter. You don't even have to buy the cable yourself. Digitec should iron out their mistakes at their expense and not the customer's (see info below).
- - - - - - - - - - - - - - - - - - - -
Digitec is obliged to supply electrical appliances with a Swiss plug. If the appliance is supplied with a foreign plug, a suitable replacement cable should be supplied if the mains cable is pluggable or alternatively if the mains cable is permanently connected, a suitable adapter should be supplied.
If the appliance is delivered without a suitable plug, complain to the customer service and insist on a cable or an adapter, free of charge.
Point 1 --> 
https://www.esti.admin.ch/de...