That's just not possible.
First, the course of the virus in most people is 14 days.
Second, you need enough samples for it to be statistically significant to see a small change. We're talking a hypothesis of something along the lines of "does HCQ treatment for X days in patients with a viral load of Y result in A) decreased mortality, or B) a change in days on a ventilator or C) days in a hospital). Think many thousands, possibly tens of thousands, to have to the statistical power to determine with a P value of 0.05 or less that.
Third, you need enough samples to assess for side-effects.
This is not a "someone is sitting on their ass" situation and pulling a Captain Picard "make it so" will speed things up, except for having the available number of patients to power the study.
Now, with that said, historically, if there is a BIG CHANGE you will see that part way through the study. It doesn't happen often, but if the change is significant enough the study will be ended early and the data published early.
Given what we have seen to day with HCQ (and mind you this drug has been around since the 1960s, we've known about antiviral properties of the drug in vitro - test tube, and tried it in human studies from HIV to influenza - all negative), don't get your hopes up for a massive effect from the drug that would warrant studies to be closed early.