It's definitely possible, and can make a lot of sense -- MyRocks/RocksDB for MySQL seems like an interesting and well designed system to me. It is fairly natural to compare MyRocks to InnoDB, since they're both MySQL storage engines. That kind of comparison is usually far more useful than an abstract comparison that ignores the practicalities of concurrency control and recovery.
The fact that MyRocks doesn't use B+Trees seems like half the story. Less than half, even. The really important difference between MyRocks and InnoDB is that MyRocks uses log-structured storage (one LSM tree for everything), while InnoDB uses a traditional write-ahead log with checkpoints, and with logical UNDO. There are multiple dimensions to optimize here, not just a single dimension. Focusing only on time/speed is much too reductive. In fact, Facebook themselves have said that they didn't set out to improve performance as such by adopting MyRocks. The actual goal was price/performance, particularly better write amplification and space amplification.