Yes, click the ADD PARALLAXER button ( shortcode generator and enable Custom Content at the bottom, there enter ( in text mode )

<iframe width="100%" height="100%" 
src="http://www.youtube.com/embed/BSLPH9d-jsI?autoplay=1"></iframe>

Your final shortcode should look like this

[dzs_parallaxer clip_height="400" total_height="180%" breakout="off" direction="normal" use_loading="on" mode="normal" enable_scrollbar="off"][dzsprx_custom_content]<iframe width="100%" height="100%" 
src="http://www.youtube.com/embed/BSLPH9d-jsI?autoplay=1">
</iframe>[/dzsprx_custom_content][/dzs_parallaxer]

and if you need text this is the shortcode

[dzs_parallaxer clip_height="400" total_height="180%" breakout="off" direction="normal" use_loading="on" mode="normal" enable_scrollbar="off"][dzsprx_custom_content]<iframe width="100%" height="100%" 
src="http://www.youtube.com/embed/BSLPH9d-jsI?autoplay=1"></iframe>[/dzsprx_custom_content]<div class="big-text center-it">This is some optional overlay text.</div>[/dzs_parallaxer]