Yes, the pressing removes the water. I press tofu essentially every time I use it.
No problem at all going over 30, that's just my minimum time. You want to have enough weight to squish the water out but not so much that the brick crumbles. You can slice it lengthwise before pressing to help avoid this, or prep multiple blocks at once. You can also press it and then put it in the fridge, in a container or wrapped in plastic. It should keep for at least a day in that form.
Happy to share :D