I went to the March yesterday in town. I am "poor" also but I met a few like minded people of my age yesterday. I may not want to date them but networking can often leed to friendships.

I will see your poor and raise destitute.
Coffee at a cafe is bloody expensive.
Depends on your situation/location.
My advice is think laterally, don't think of it as being a budget exercise, see it as being a money free exercise.
Somewhere where purchasing is not an option.
Though not a date, when kids and I forst moved out of home, they were 12 and 13. Of a night we would hop on our pushbikes and ride through a local environment park with our food in backpacks. We woudl do 3 rounds, over 15 miles all up, each time we passed the free electric BBQs, we would turn them on, so bt the time were were finished they were really hot. Then we would sit at the table, get out our snags, eggs drink etc and have dinner.
Since then I have taken irls on cycling dates, ride through our coastal towns and stop somewhere for a picnic or bbq lunch, means I carry a lot on my back, but it is do-able.
State forests/national parks and the like are gerat for hiking and a meal at he furthest point, girls 1/2 my age often ask me to do this with them, not a date of course, but a pleasant outing and you should see the looks I get from guys of all ages. so funny. This sort of thing as also possible for a group.

I meet freinds through meetup.com groups. Some groups are free, whiel others have fees, and some just ask you ship in to pay carpool drivers for gas. Anyway, you dan do serches to find groups or events in your area.

I've been there too. here isn't a bad place for a start even if it's for ideas. maybe some volunteer work where you meet people?

Been there living on disability I had a choice to make. I went to a food bank once a week for groceries. I switched from a smart phone to a flip phone-under $50month. I rented out my house which almost covers my mortgage. I moved into my office and I am sharing my home with my daughter' inlaws family. Their sons shovel and maintain the yard. I have money to travel and people to housesit and watch my animals. I can also afford to shop at the supermarket. I'm lucky I have 5 bedrooms and can keep my house. Consider a roommate.

I joined a non-profit called circles. It helps eliminate poverty by addressing barriers to success and problems in the community, as well as education and building bridges between the poor and the middle class. It became a family to me, and every week I'd go, get a free dinner, and socialize with my circles group. They helped me re-write my resume to be attractive to employers, and showed me how to act middle class in order to get a decent job. Win-win.

You might ask around and see if your community has something like that, or even try to start your own through the circles program. It's really awesome.

So far my town has gotten over 80 adults out of poverty and over 200 children.

Pictionary via FaceTime???

You might be able to find socialization through volunteer opportunities in your community.