The Netherlands embassy in Budapest does not issue visa.
Hungary is part of the Schengen area. Do you have the nationality of Hungary? Or do you have a valid Schengen visa or a residence permit for Hungary? Then you do not need to apply for a short-stay Caribbean visa to travel to the Caribbean part of the Netherlands (Aruba, Bonaire, Curaçao, Saba, St Eustatius or St Maarten).
In case you do need a short-stay Caribbean visa, please make an appointment at the Netherlands embassy in Budapest.