I only speak another Scandinavian language and there the word order switches, depending on the type of sentence. I would infer there could be something similar going on in Faroese. You may read about the general concept here. https://www.thelocal.se/blogs/theswedishteacher/2010/03/17/word-order-part-1/

In a primary sentence the order goes "Eg havi ikki" for example "Eg havi ikki tíð". In a secondary sentence, we change the order to "... , eg ikki havi tíð." for example "Eg sigi, at eg ikki havi tíð.".

If you turn "Eg havi ikki tíđ!" into a question it becomes "Havi eg ikki tíđ?".

Yes, Faroese, like Icelandic (and afaik other Nordic languages as well), has verb-second word order, meaning the verb always comes second in a sentence.