I don't think there's an option for it, but you can remove it by overwriting the registration form view and excising it directly

Use elgg_list_river($options);

Works great! Thanks! Can't believe I couldn't find this on my own!

Thank you very much! I decided to use elgg_list_entities_from_relationship, and it works just the way I want it to.

Just a bit of documentation out in public for those that need it:

in the $options variable for the query, set 'pagination' => true. Also, the 'limit' option controls how many results per page. (eg if 'limit' => 2, there will be 2 results per page)

Thanks Matt!

For multiple pagination controls you can pass a custom 'offset_key' value in the options

Oh right, I forgot about the custom offset key.  That's the easy way to deal with multiple pagination controls per page!