Yes, if scope is defined (defined process and research, clear deliverables) and you avoid “unlimited stakeholders.”

Fixed price works when you define inputs and outputs clearly: number of interviews, number of competitors audited, number of role families, list of deliverables, and timeline. It breaks when scope creep enters: “one more round of feedback,” “add two regions,” “now include all functions,” “also rebuild the site.” For a fixed-price engagement, insist on: a crisp scope, change-control rules, and deliverables that are operational (templates/talk tracks) with a measurement plan. Fixed price is easiest when you’re building choosability for a focused set of roles first.