Hi Mark. I'm not 100% sure on what you are asking but from my understanding you want to include just the gallery inside a hype website. I think @Daniel has already mentioned how you can achieve this. By serving the page in a HTML widget using an iframe you can of course view any web page inside a Hype project. Are you worried about including the header and footer information? As Daniel said you can strip down your wordpress theme to just include the indiviual pages/posts that you want to embed. (without the header and footer information). If you want I can upload a .hype file with an example. You will of course need to create a template wordpress page that only shows the post and nothing else. Or use/create a very sparse theme.
Apart from this if you want to somehow embed the plugin itself then this, i fear would require a lot of work and a lot of coding.
To summarise. You can build a website with Hype and use Wordpress as the CMS and just create HTML widgets to embed the Worpress posts/pages that you want to use. You would have the main hype files and any other html files in the root of your website and Wordpress in a sub-directory. Is this what you were thinking?
Another option is to use your .hype project and resources inside your Wordpress theme. Then you are using Wordpress with some hype interaction along with it.
@MarkHunte The gallery works on iPad (or at least my iPhone) the problem I believe is that the images are not optimised and are very large in size and taking a long time to load. Perhaps @MarkiSky could look at this and optimise the images so that they serve a little quicker.
Hope this helps! Sorry for the long post