Restarting a Meyer Lemon

My grandmother is notoriously impossible to shop for.  With her birthday coming up and her being stuck inside a lot these days, we decided to get her an interesting plant.  She likes that kind of thing, too.  A trip to a local plant nursery netted us a Meyer Lemon plant.  Unfortunately, the plant had a branch that was partially broken at the store.  We decided we didn't care and bought it, anyway.

We're wondering if we can restart a new plant from what amounts to a cutting.  We trimmed the break to remove the dried end and put it into a bud vase along with some organic miracle grow.

It'll be interesting to see if it lives.