Did fear of Byng push Graves into battle?

Did Graves attack at Chesapeake because he feared being accused of inaction and sharing Admiral Byng's fate?

No. Hood and Drake had finally pushed a habitually cautious Graves to act, but once committed he rushed into battle without strategic judgment.

Graves's behavior does not fit the idea that Admiral Byng's execution drove him into battle through fear of a charge of inaction. He had already been reluctant to move, and Hood even overstated his ships' readiness to press him into action. Once Hood and Francis Samuel Drake finally got their senior officer moving, Graves swung from caution to haste without building a sound operational plan. The case distinguishes competence in ship command from judgment at squadron or theatre level. It also explains why promotion systems needed ways to advance strategic officers without assuming that every capable captain belonged in top command.