Is there a way i can have a answer to a question trigger another question by using the check box option?

For example..

Is your company currently insured ? (if they check the box that says yes, it will trigger another question which is below)

who is your current carrier ?

You can indeed show different fields in the form based on previous input.  This can be done using a show/hide condition:

https://www.jotform.com/help/316-How-to-Show-or-Hide-Fields-Base-on-User-s-Answer

For your example, you would create a condition like this:

IF Is your company currently insured IS EQUAL TO Yes SHOW who is your current carrier