iOS cancel TouchID authentication dialog programma

Is it possible to cancel the TouchID alert dialog programmatically after the LAContext.evaluatePolicy call? If yes: how?

Not every API Apple publishes makes it into the documentation on developer.apple.com (or in Xcode's docs viewer). The API diffs list public APIs, so anything you see there is in the header files (see LocalAuthentication/LAContext.h) and the Swift interfaces generated from those headers. And anything that's in the headers is a public API, so you're free to call it.

Sometimes (but not always) the undocumented APIs have decent header comments explaining how to use them... thankfully LAContext.invalidate() is one of these:

/// Invalidates the context.
///
/// @discussion The context is invalidated automatically when it is (auto)released. This method
///             allows invalidating it manually while it is still in scope.
///
///             Invalidation terminates any existing policy evaluation and the respective call will
///             fail with LAErrorAppCancel. After the context has been invalidated, it can not be
///             used for policy evaluation and an attempt to do so will fail with LAErrorInvalidContext.
///
///             Invalidating a context that has been already invalidated has no effect.
@available(iOS 9.0, *)
public func invalidate()

Indeed, it looks like calling invalidate() while the Touch ID alert is visible should dismiss it. (I haven't tried myself.)

iOS 11 update: Note that on devices with Face ID instead of Touch ID, the alert/HUD-like UI that appears when you call LAContext.evaluatePolicy doesn’t require or allow interaction, and dismisses itself upon successful authentication. Theoretically, the invalidate call still dismisses it (or the followup, actually-interactive alert that appears if Face ID doesn’t identify the user).

But it might not be wise to assume that on all possible devices and authentication methods you’ll always have enough time to cancel LAContext authentication after asking for it.