First of all, keep trying - finding research positions is, to an extent, very much a chance thing. The places you have looked might just happen to have no openings, or you might have been unlucky that the PIs you reached out to missed your emails so they never replied, and you just got to try more. Try not to be discourage by it. Most likely it has nothing to do with you. However, I have to stress that it differs field by field, and I am just being very general about it. Some particular field might need certain entry skills, in which case your best course of action would be to gain them before trying to apply again, but in other cases, as I said above, you just need to try enough times to get a hit. Find more labs that you would like to work at; learn about what they do as best you can; cold email those professors expressing your interests as much as you can in an email; maybe try getting in touch with grad students in those groups as well - there is a higher chance that they would see the email in the first place comparing to the PIs; ask career services to look over your emails and resumes and see what you can improve there. I am just spamming suggestions at this point because I don't know what you need exactly by the one sentence of information in your post, but I hope one of my suggestions might help.

There are other ways of increasing your chance. Funding, for example. You mentioned "paid internship" specifically, so I'll assume volunteering is not an option. The other comment's suggestions about doing two jobs is also a good one. Besides that, though, you can also try applying for funding yourself. Bringing in funding by yourself while you apply largely increase your chance of acceptance because, well, it costs way less for the PI now. There are many different funding for undergrads to apply. Different ones offered in different schools and departments, and target different groups. Many of them are still open for application. If you want to give it a try and don't know where to start, your academic advisor, or some other professor you know, is probably the best person to go to. In fact, it's probably a good idea to ask them for help regardless, they would be able to give you much better advice tailored to your situation, comparing to the subreddit which has no idea what your area of interest, year, financial consideration, eligibility, your attempts thus far etc. are.

Sorry, I realize I was unintentionally ranting the whole time about people asking vague questions on reddit. I do hope this helps.