Yes you can play the game offline without internet, but of course this prevents you from participating in the seasonal stuff.
If you seriously have no intention or are unable to connect your ps4 to the internet EVER and are playing with a physical disc copy of the game this would also mean you miss out on all the content that has been released through the updates and patches over the last few years.
I'd expect you will find that whilst still an enjoyable game, it wouldn't be anywhere near as fun without all the stuff everyone else gets to do with an up to date version of the game
Thanks very much for the response!! I would most likely update the game all the way to the newest patch when I got it. I would find a way, but after that I would rarely use internet connection. Again, Thank you!