All the cycling computers that provide remote tracking use a smartphone.
The Garmin Edge Explore 1000 has "incident reporting" (probably, the only device that does that).
Garmin releases new Edge Explore 1000 Edition: Tells your friends when you crash into a ditch | DC Rainmaker
These devices provide tracking without needing a cell phone but they are not cycle computers.
FindMeSPOT.com
You have to press a "rescue me" button or fail to "report in" to get help.