This seems unlikely. Possible, but unlikely. If not highly unlikely and unusual.
I also think acts while employed would be under the company and (in the U.S.) there's an implicit indemnification of an employee (and a company's duty to defend them) in the lawful performance of their duties (mind, the insurance company's lawyer is there for the company, you aren't exactly their client in that fashion), you can NAME an employee in a lawsuit, (you can name anybody....) but they personally would likely be allowed out, unless, say, they did special inspections very badly as a private individual "moonlighting" out from under the company, and that's part of the claimed damaged(?), or if they were a third party administrator (i.e. a "independent" adjuster). I have seen a lot of litigation (well, more than the typical guy, I guess, and about none are negligence actions, the "you did it wrong" stuff I've seen involved it being "unconstructible" or delay claims for whatever reason) and it's unusual for the employee to be named. It's like an insurance adjuster being personally sued :in addition: to the insurance company, I've only seen that once out of well, beyond dozens of actions.
This is my impression of things, I'm NOT an attorney. Canada I really don't know anyway, I don't practice (practise?) in Canada.