I take it you meant “hidden fields,” not “hidden views”?
If I read you correctly, you want certain fields to show in the card, a few more to appear in the expanded card, and some to remain hidden completely. Is that correct?
The way that Gallery views work, the fields you choose in the “Customize cards” dialog will appear at all times, whether in the overall gallery view or in a single expanded card. There’s no way to specify some to remain temporarily hidden in the main gallery layout, only displaying when a card is expanded.
However, you might consider the optional card layout for an embedded grid view. Turn on the “Use card layout on desktop” option in the embedding options that appear when you choose to embed a grid view. This card-like view will display as many fields as it can (not user-controlled, I’m afraid) in the card, and the full collection of non-hidden fields when expanded. Any fields that you hide in the grid view driving that embedded version will stay hidden when embedded.