I expect something like this would do the trick:
<button class="load-video-button" data-video-embed="<?php echo htmlspecialchars(get_field('oembed_video_url')) ?>">Load Video</button>
<div class="video-container"></div>
<script>
$(function() {
$('.load-video-button').click(function() {
$('.video-container').html($(this).data('video-embed'));
});
});
</script>
(I assume you’re using jQuery here.)