Most Florida county recorder offices allow for electronic recording. But, ultimately, that's done on a county-by-county basis. Importantly, though - recall that Florida Notices of Commencement must be signed directly by the property owner. So, even if the document will be electronically recorded, it may take some logistical work to make sure the document is properly executed before it can be electronically filed.
If you're wondering about whether Levelset can assist with electronic recording in a given county, contacting your account manager of the Levelset Support team would be a great way to get that info.