In short, yes you can sell life insurance to your mom - but there are a few things to keep in mind.
First and foremost, while it's certainly possible to get a policy on someone without their knowledge, it's generally not considered ethical (or legal, in some cases). So be sure to have a conversation with your mom about why you're interested in buying life insurance for her, and get her permission before moving forward.
Once you've got the green light from Mom, the next step is to figure out what kind of policy makes the most sense for her. If she's relatively young and healthy, term life insurance could be a good option. However, if she has any health issues or is older, she might be better off with a whole life policy.
Finally, once you've selected the right policy type, it's time to start shopping around for quotes. Be sure to compare prices from multiple insurers - and don't forget to read the fine print! - before making a decision.
By following these steps, you can give yourself peace of mind knowing that you've done everything you can to protect your mom (and your family) in case something happens to her.