Upvote:0
I have contacted Finland Embassy and got confirmation that, it is not possible to apply for another schengen visa when the person is holding a work permit from any schengen area. But the person can travel Schengen countries only after reaching Hungary and immigration formalities are completed from there.
Upvote:1
With a valid Hungarian D visa you can enter Finland directly.
As stated in Timatic, the database used by airlines, regarding Finland:
Visa required, except for passengers with a valid D visa issued by another Schengen Member State for a maximum stay of 90 days.