PJFW8
Red Menace may hurt me
I think that generally you do own the property all the way to the curb. The sidewalk being a public right of way usually maintained by the city/county, but not always. I agree that liability is the bigger issue. In any case, curbside installs are not unheard of, and there's probably some permit hoops to jump through to do it correctly. I would not do the mobile connector unless I were to put the whole thing in a weatherproof housing.
One other issue is that usually street parking is not reserved, and somebody could block you out. It may be possible to designate the parking as EV charging, but that would be another hoop to jump through.
These things vary, but in most cities the right of way extends to the home side of the sidewalk. Whether the city owns it or simply has an easement makes little difference. Get permission and permits for the work. My 25 years as a municipal attorney (and instructor) urges caution. Many cities are EV friendly.