No, since quantum computers will likely be only available to governments, and potentially high level companies. They wouldn't have any reason to attack specific users, or even Bitcoin in general. There's also been discussion that when the time is needed, Bitcoin could look into implementing a quantum computer resistant algorithm. Honestly, we are quite some ways off of having a computer with enough qubits to succeed. Even then, it requires motive which those that have possession or even the capabilities of quantum computing, aren't likely to concern themselves with.