Naturally, it all depends on whether the faculty is represented. Is so, you'll get an increase in load only if you are willing to give something in return, and maybe not even then.
If not, you'd better have an air-tight story about why you want to increase load. One could be changing the school's mission, and no longer requiring research productivity for tenure and promotion, say. Or is there was a financial issue, then you'd better combine an increase in load with more or less equal salary reductions for administrators, or some such equivalent and strong action. Otherwise, you have zero credibility.
So, OP, why are you asking?
I'm a faculty member, not an administrator, and I'm concerned that the admin may try to pull that on us here. We are and have been at 2/2 for a long time, but who knows what could happen given these financial difficulties.