Yes, rabbits like to chew. However hormones can absolutely cause
excessive destructive chewing. Those more hormonal-induced behaviors can become ingrained if a rabbit is not neutered. Neutering has been a life-saver for many-a rabbit owner who thought the destructive chewing would never stop.
That said, even a neutered rabbit still likes to chew. Those behaviors are generally less intense though and can be more readily redirected with a neutered male.
A hormonal male in full hormonal mode should probably have his roaming area more limited to safe areas. An exercise pen (or two) can be configured to create a 30 sq ft area where bunny cannot access tables, chairs, beds, etc. . That size will provide plenty of exercise space. Allowing him to access those other areas (tables, beds) now may only reinforce that undesirable behavior.
Limiting his area also has the advantage of making it easier to litter train. Granted, those hormones can cause a formerly "litter trained" rabbit to forget those habits. He may even start spraying urine about (as
@Preitler warned). Once he's neutered (if you choose to do so), then litter training typically is something the rabbit does on his own -- after the requisite healing period. A proper litter setup is generally all that is needed and the rabbit does the rest. During that time, it is best to limit his area so he establishes that litter box as "his." Then his roaming area can be gradually increased in increments, ensuring he remains consistent with his training.
I understand that you've read that rabbits can live without a cage/hutch and this is mostly true. However what often is not explained is that in order to free roam a rabbit, there is a process involved. Fixed rabbits tend to adjust more easily. Young rabbits are almost always a challenge. And rabbits train easiest once they are older (contrary to what one would normally assume). And there will always be that occasional rabbit that simply is not suited to free roam.
Also, more often than not, even free roam rabbits like to have a designated area that is "theirs" alone -- a place they know they can go and not be disturbed. This can be as simple as an always-open cage that has their litter box and food (provided the space is respected by the humans as a no-touch zone).
Rabbits really are unique pets. Unfortunately, there are numerous online sources that paint only a partial or rose-colored picture of what rabbit ownership is truly like. The following link (and the other pages on the site) might be helpful to you in figuring out how to move forward with your rabbit.
https://rabbitsindoors.weebly.com/free-roaming-how-to.htmlhttps://rabbitsindoors.weebly.com/litter-training.html