You cannot stop UWP Map control to for asking tiles in case of any kind of tile's implementation like thit one HttpMapTileDataSource
What you can do is try to cancel tile's query in the method below by using predefined coordinates in your client app or if you have implemented your own tile's server do checks over there and return empty transparent png file 1 x 1 pixels.
private void DataSource_UriRequested(HttpMapTileDataSource s, MapTileUriRequestedEventArgs e)
{
var deferral = e.Request.GetDeferral();
// var qk = TileSystem.TileXYToQuadKey(e.X, e.Y, e.ZoomLevel);
e.Request.Uri = new Uri($"{url}x={e.X}&y={e.Y}&z={e.ZoomLevel}");
deferral.Complete();
}