Yes, of course it's possible. It's not all about twisting yourself up like a pretzel. You always always stretch only to the point it's slightly uncomfortable for you. If that's a limited movement, so be it. You're still getting just the same effect for you personally.
For me it's all about the process. Connecting your mind/body/breath is great every day, your flexibility and strength will improve as you go along. Doesn't matter where you are in terms of your flexibility, everyone's journey is different.
I have arthritis in my spine and I’m not very flexible as a result. My rheumatologist actively encourages me to do yoga. It does improve my flexibility. I dread to think quite how inflexible I’d be if I stopped.
There are some positions that I’m just never going to manage. Others depend on the day. Others have very much improved over time. Good yoga teachers will help you to adapt the poses to suit your body and encourage you to focus on what you can do, not what you can’t. And certainly not on how you measure up against anyone else.
TBH, I don’t really notice what other people are doing as I’m too busy getting on with what I’m doing.