Unlikely... even if they could wave a magic wand and wipe out the disease in Denmark entirely they are just going to be re-infected via people from other countries.
Important is that they are then able to quickly disperse local outbreaks once they are familiar with how to handle it. Right now they are fighting to keep it contained nation-wide, i.e. reducing R0 to under 1, that should last up to 4 weeks if China is any kind of a reliable indicator, then local outbreaks might still happen but could be quickly quarantined without overloading ICUs.