Can I use both Laravel and WordPress on the same site?

Yes, and this is often the right answer. The common hybrid pattern is WordPress for the public marketing surface (blog, articles, marketing pages) and Laravel for the application (user accounts, dashboards, transactional flows). They connect through WordPress's REST API consumed by Laravel, or through shared user authentication. Subdomain split (www on WordPress, app on Laravel) is the cleanest separation. Hybrid setups give you WordPress editor experience for content plus Laravel engineering flexibility for the application, at modest extra integration cost.