Some phones have it and some don't....this new LG phone shown here from Verizon demonstrates that someone is listening....somewhere. Verizon supports an In Case of Emergency title under the Contact folder.
Inside that group is room for 3 ICE CONTACTS and a Personal Info Heading.....inside the Info Folder you will find room for 3 NOTES! Now users can program that ICE info from the get go in this section as well as using a back up entry listed in alphabetical order (AA Emergency). This particular phone is not equipped with any SIM Card and relies on phone memory.