Adding on to Andreas' answer, You may also be able to remove the Stopwatch-related code.
StylusSystemGestureEventArgs also comes with a Timestamp property, which I believe counts in milliseconds.
So instead of using the Stopwatch to calculate from the TimeSpan, add an int _lastTimestamp field and subtract the timestamps.
public static class ext
{
    private static Point? _lastTapLocation;
    // Stopwatch changed to int
    private int _lastTimestamp = 0;
    public static bool IsDoubleTap(this StylusSystemGestureEventArgs e, IInputElement iInputElement)
    {
        Point currentTapPosition = e.GetPosition(iInputElement);
        bool tapsAreCloseInDistance = false;
        if (_lastTapLocation != null)
        {
            tapsAreCloseInDistance = GetDistanceBetweenPoints(currentTapPosition, (Point)_lastTapLocation) < 70;
        }
        _lastTapLocation = currentTapPosition;
        // This replaces the previous TimeSpan calculation
        bool tapsAreCloseInTime = ((e.Timestamp - _lastTimestamp) < 700);
        if (tapsAreCloseInTime && tapsAreCloseInDistance)
        {
            _lastTapLocation = null;
        }
        _lastTimestamp = e.Timestamp;
        return tapsAreCloseInDistance && tapsAreCloseInTime;
    }
}