Unfortunately, no. Even the new Program Member-level custom fields are not available as tokens themselves (they're viewed/exported on the Members tab).
Of course if you set some other custom String field to the same value as the (most recent) status, you can include that in an email. It would only record the most recent combo of Program & Status, though. To do more than that, you'd pretty much have to use a webhook to maintain a JSON (Textarea) field which holds all the person's current Programs & Statuses. A bunch of different ways to almost skin the cat, but no way that's exactly what you seem to want. Is this to put in an Alert?