Can I edit the wp_head() call in the header?

I’m working on cutting down the load-time of our website.
https://pinpointcreative.com

I’ve been going through, removing PHP bloat, double checking images are optimized and that plugins aren’t taking up an excessive amount of resources.

One thing I’ve noticed is that my header is calling two copies of the jQuery library file. One by WP itself in the wp_head function – its the older version; then one by a cycle plugin I’m using for a few effects throughout the site – the newer jQuery library.

I’d like to stop it from loading the old one. Is there a way to access what wp_head is calling and remove it?

Thanks!