Is it worth applying to PhDs with no research experience?

I’m currently about to start the last year of my undergrad in the UK. I recently got my green card so I thought applying to PhDs in the US would make more sense financially than applying to a masters in the UK. which is one of my options. I have very solid grades but the only research experience I’ve had was a research class I took last semester. So I do wonder if it’s even worth applying. If the chances of me getting into a program are quite low, it seems like it would be better to not apply until I have more experience and I’m a more competitive applicant.