Serious answer to an unserious question: probably not!

If you're travelling between stars, you do actually need star trek sci-fi shields. The relative velocity turns interstellar dust into bullets that would obliterate an unshielded ship. Assuming those shields can operate in proximity to a planet, they could simply shove their way through the debris cloud.

Alternately, an interstellar ship probably has a lot of power to throw around and likely a lot of time they're willing to spend. It's not unreasonable to think that a starship would be equipped to deal with some amount of orbital debris. Probably point defense lasers or something. Maybe a tractor beam.