If by branding you mean skin that will prove difficult. The best solution to that is to have a self-reg for each company with the right skin, and then create a 'Page' with your selection and a little JavaScript onchange to take you where you want.
If you do not need skins there are a couple things.
If you simply had fields you wanted to hide or show based on answers you edit the field and under Advanced > Visible-If put an expression like "some_field.value == 'acme'".
Within the Footer HTML or Header HTML you have the values at your disposal as:
{if $some_field == 'acme'}
<img src="public/acme.png">
{elseif $some_field == 'aruba'}
<img src="public/aruba.png">
{else}
<img src="public/default.png">
{/if}
You could put any HTML in those blocks including a CSS style block. The guest guide has tips on how to write in these boxes as the scripting language needs careful consideration of '{' and '}' in CSS and JS.