Yes it is supported, it is enough to plug the "script" widget into the "blade" template,
I am providing a link to the documentation so that your developers can check it out if it supports it:
Detailed information for developers here https://imbachat.com//en/blog/post/documentation.
Laravel is a framework and you can embed chat into it.
I want to show you our plugin for integration with OctoberCMS because it is based on Laravel framework https://github.com/imbasynergy/ImbaChat-OctoberCMS
By the way, you can also use the services of an in-house developer:
link to additional 10 hours programmer service - $100: https://imbachat.com/admin/widgets/tehsupport
Please, be attention! The link to programmer services does not automatically register a user, so be sure to log in to Imbachat and create a widget to work with before proceeding.