Yes it's possible , just perform the BIOS update with the G4400 , then insert the i3.
If the BIOS is up to date with the F20 it should run , without issues , it is supported with that F20 BIOS.
https://www.gigabyte.com/Motherboard/GA-H110M-DS2-rev-10#support-cpu
Update it with the G4400 and then install the i3 7100 , and your H110 board should run it.