I believe it's best not to lower it at all unless absolutely necessary. If you have no choice. I believe you need to lower front and back equally. You might feel a little difference in the way the bike behaves. My ninja 650 was lowered when purchased and felt better when put back to original height.
Yes you can lower it. Yes it will change the handling. Yes you should try to lower front and back equally to minimize the changes in handling.
Many run a taller tire in the rear which affects the handling also (here in a positive way).
Others raise the forks in triple about 1/2" to improve turn in (lowers front end).
If lowering just for looks that's up to you.
If to improve your confidence due to height, a more confident rider is safer and will adjust to handling changes.
Lowering link available for rear, some are adjustable.
Front can be raising forks a little (if too far they slip and would be very bad). Have it done or do your research!!!!!!!!
There are also lower spring kits available and can be matched to your weight.
A friend had her fz8 lowered 3 inches and she wishes she'd gone 2. She's 5'4".
I've ridden it a few times and drag my boots, pegs, and awkward putting feet down but I'm 6'2".
Google is your friend. I'm rarely here so likely won't respond.