Apple Watch fall detection without phone or cellular

Regarding fall detection, can an Apple Watch SE still contact enabled family member/personal emergency contacts

even if not cellular, no WiFi, and iPhone not nearby (from what I understand, it would probably not have the ability to contact 911/emergency services)? Wanting to use it for aging parent as fall detection, with my iPhone paired to it (but we do not live in the same household). I believe it can if there is a WiFi connection (?), but not sure her senior independent living apartment WiFi is reliable. Thanks in advance.