Your storefront is locked and you've not given any information on the theme in use. That makes it hard for the forum members to give much advice.
Generally speaking, what you're wanting is possible but will need some theme edits / customisations. Also note that some themes will already show the variant options in boxes (or as swatches).
Sorry Jason, it's still not ready to launch as yet, trying to nut out the last few kinks.
I'm currently using the free theme boundless.
I'll grab a screen shot of the page I'm wanting to edit. Currently the shoes sizes show up in a drop down. I'm really wanting them all displayed in the pic I'll attach second