Yes, you can replace just one wheel bearing on your Jeep if only one side is showing wear or noise. Wheel bearings don't need to be replaced in pairs the way some other parts do, so if the opposite side checks out fine on inspection, there's no need to replace it too.
Each wheel bearing wears somewhat independently based on the specific stresses it experiences, such as how much weight it carries, how it's used, and even small differences in road conditions on one side versus the other. It's common for one side to develop noise or play well before the other does. As long as a proper inspection confirms the other bearing has no excess play and isn't showing early signs of wear, replacing only the affected one is a perfectly reasonable and cost-effective approach.
That said, if your Jeep has higher mileage and both bearings are original, it's worth asking your mechanic to check the healthy-sounding side carefully rather than assuming it's fine just because it's quiet. Bearings don't always announce themselves early, and a thorough inspection with the wheel off the ground and checked for play is more reliable than judging by sound alone. If both are close to the same amount of wear, some drivers choose to do both while everything is already apart, mainly to avoid a second repair visit down the road.
There's no harm in asking your mechanic to walk you through what they found on both sides before deciding. A shop that's upfront about which bearing actually needs replacing and which one is still in good shape is giving you the information to make that call yourself rather than pushing you to do more than necessary.
The right call really depends on what an inspection actually shows for your Jeep. Hoover Street Auto Repair in Ann Arbor will properly inspect both sides before recommending anything, so you're only paying to replace what genuinely needs it, rather than parts that still have useful life left.