Nope. Almost all (if not all), airline pilots are covered by CBAs. They might give you wiggle room on a class date. That's it. Everything else- bases, aircraft assignment, pay, insurance- is covered by the CBA. Some companies do get around the new hire bonuses by making you sign for them before you are an employee, but I really don't recommend trying to bargain about those if you want the job.
As for insurance, you don't have to take it. If you don't that isn't deducted from your pay.