Yes, having both the P0137 and P2096 codes is actually not uncommon since they refer to related issues with the same sensor—specifically the downstream O2 sensor (Bank 1, Sensor 2).
The P0137 code indicates that your downstream O2 sensor is reading a low voltage, which suggests it's not functioning correctly. The P2096 code, on the other hand, points to a fuel trim issue indicating a lean condition, which can also be a consequence of the faulty O2 sensor not responding as it should.
In essence, the downstream O2 sensor plays a critical role in the vehicle's fuel management system, and if it isn’t working properly, it can cause both erroneous readings and fuel trim issues. It’s like a domino effect.
I was under the impression that down stream sensor had nothing to do with fuel trim, that it's just a baby sitter for the cat and that the fuel trim is ONLY controlled by the upstream. It seems to me I remember Ryan from FRP even weighing in on that subject a few times.