Yes. If you already hold a Florida driver's license, changing the address on it is an online transaction — you do not need to travel to Florida.
Update it through the MyDMV Portal: https://mydmvportal.flhsmv.gov/
Use your SavvyNomad residential address — not your mailing address.
This only applies if your license is already a Florida license
Because your license was issued by Florida, moving to your new SavvyNomad address is treated as an in-state address change, which Florida lets you do online.
If you are switching from another state's license to a Florida one, that is a different process and has to be done in person. See Can I change my driver’s license online from my previous state to Florida?
Do it within 30 days
Florida requires that name and address changes be updated on both your driver license or ID card and your vehicle title and registration within 30 days. If you have a vehicle registered in Florida, update both.