Considering Hamas' plan all along was to martyrize the Gaza population by feeding it to the lions, subsequently sabotaging Israel's relations with its neighbors and the global community, it does make sense they decided to provoke a war during Biden's term, a very outspoken zionist.

But Israel is far more likely to want conflict to occur. Evidence of such desire would take the form of ignoring intel from international community stating that an attack was planned, and allowing human-sized slow moving targets to pass through the air defense systems unassailed.