There's a menu option to setup low-cost charging window in iDrive, so yes, you should be able to make that happen. Note, though, that if you plug it in when the battery is very low, it will start to charge the battery up a bit, and then stop until the window. Some of this, I think, is affected by the ambient temperatures. Assuming you have an EVSE that has 32A, it should not take more than about 4.5Hrs with the current, 2017 i3's battery, so your 10-hour window is more than adequate.
The maximum on-board charging capacity (the charger is in the car, it is not the EVSE) is limited to 7400W/hr. Since power = volts * amps, in the USA with typical 240vac inputs, a 32A EVSE will max out the i3. Now, next year, they may include a higher capacity on-board charging circuit, and you won't damage anything except for your budget if you get an EVSE that can handle more than 32A, and with a larger battery, it would just take longer to charge. Some will have to worry about how much power they can dedicate to the EVSE with their current power panel, though. In my case, a 32A unit pretty much was the maximum I could put into my panel.
The car determines the amount of power it wants...the EVSE only announces how much power it has available.
If you want to avoid the menus on the car, there are some EVSE's that you can control via the internet and setup windows and track what's going on. Personally, I don't have access to low-cost power windows, so have not dealt with it, but there are threads around that discuss it. Note that the s/w in the car has gone though numerous tweaks since introduced, so what might have been true early on may or may not still be an issue. I've got a Clipper Creek EVSE that has been working fine. Note, the logic in some can have issues if you have a power outage...they don't always reconnect. Doesn't happen often, but that could prevent you from waking up with a less than full battery charge.