Can you use into (rather than to) when talking about a kitchenette—even though a kitchenette isn't a place that you enter?
Note: Google Ngrams says that "stepped into the kitchenette" is way more common than "stepped to the kitchenette."
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As @JeffreyCarney has pointed out, this is a matter of usage.
You normally step in/into a place or an area (or step on/onto it if it's sort of a raised platform or something not too big like someone's toe).
It doesn't have to be an enclosed space. You can draw a circle on the ground and step into it, for instance.
Here are some examples from different dictionaries:
She opened the door and stepped out into the sunshine. (Oxford)
I stepped onto the platform and started to speak. (Macmillan)