As Anthriscus sylvestris is the only Apiaceae in Svalbard, and the only species there with 3-pinnate leaves and compound umbels, no mistake is possible.
Introduced. One large and stable population of Anthriscus sylvestris is known within the Russian mining town of Barentsburg (Nordenskiöld Land), obviously introduced with husbandry. See Alsos et al. (2015). This population has now been attempted eradicated, as a possible source of invasion in more undisturbed Svalbard nature. We do not yet know whether this attempt has been successfull. Otherwise, the species is European and W Siberian and common in agricultural areas north to beyond the arctic boundary in Norway and Russia.