Possible to programmically get Youtube video thumbnail for share?

I have a page with youtube videos. Is it possible for AddToAny to grab the youtube thumbnail for the thumbnail used with a share of the page?

Youtube’s videos always have thumbnails with this format:
https://img.youtube.com/vi/<insert-youtube-video-id-here>/0.jpg

So, theoretically, if you could ascertain the video id, you could use it to grab the videos’ thumbnail.

I also found this bit of php code:

$data = file_get_contents("https://www.googleapis.com/youtube/v3/videos?key=YOUR_API_KEY&part=snippet&id=T0Jqdjbed40");
$json = json_decode($data);
var_dump($json->items[0]->snippet->thumbnails);

Could I use that with AddToAny to obtain the thumbnail to share?

Thanks for any help.

The page I need help with: [log in to see the link]