Not without altering the plugin. Sorting by custom fields is not a standard WordPress feature – but it is possible with a little SQL and PHP.
Please note that the results may not be 100% in order due to the masonry layout – images may be rearranged on the fly to fit the screen. However, things should be more or less in order.
You could edit the masonry-post-gallery.php file in the plugin.
Option 1: An inefficient option could be to add a sorting algorithm at around line 229 to sort the results by custom post.
Option 2: Alternatively, you could rewrite the search query. The search arguments are on line 218 and the search is initiated on line 228 using get_posts(). You could replace this with a custom query string (see http://codex.ww.wp.xz.cn/Displaying_Posts_Using_a_Custom_Select_Query). Here is a snippet that I copied from the link above.
$querystr = "
SELECT $wpdb->posts.*
FROM $wpdb->posts, $wpdb->postmeta
WHERE $wpdb->posts.ID = $wpdb->postmeta.post_id
AND $wpdb->postmeta.meta_key = 'tag'
AND $wpdb->postmeta.meta_value = 'email'
AND $wpdb->posts.post_status = 'publish'
AND $wpdb->posts.post_type = 'post'
AND $wpdb->posts.post_date < NOW()
ORDER BY $wpdb->posts.post_date DESC
";
$lastposts = $wpdb->get_results($querystr, OBJECT);
The array of posts is stored in the $lastposts variable.
This could theoretically replace the get_posts in the plugin, though it may require a little trial and error to get right.
So, yes it is possible but it may require a little work.