To a large degree, yes.

A post-paid cellphone 4G unlimited data plan with a monthly fee may be out of reach, but many, if not most coffee shops, cafes, libraries, malls all have free wifi - and the homeless in your area probably have a better than you as to where theres free wifi.

Your local public library likely has a few computers with internet access, but many homeless people have smartphones or tablets or laptops. Maybe not the very newest, but a smartphone from 3 generations ago can be had for very cheap, and will still do enough to send emails and apply for jobs, housing, and welfare, as well as reconnect with family and friends.