Unfortunately no. Unless you put Kazincbarcika in your route. :-) Some extra kilometres.
Surprising result: only 204 extra kilometers! But almost 5 hours more... damn it, that makes a Kazincbarcika detour impossible.
Budapest-Hirtshals
Time
17h06 wich 15h11 on motorways
Distance
1681 km wich 1570 km on motorway
Budapest-Kazincbarcika-Hirtshals
Time
21h51 wich 14h12 on motorways
Distance
1885 km wich 1496 km on motorway