Short answer
Is Peeku a LookAway alternative?
Yes, if you want local presence context and a broader Mac desk-health
coach. No, if you only want the most polished dedicated eye-break app.
LookAway is stronger for smart eye-break flow. Peeku is narrower and
newer, but adds walk reminders, posture and distance nudges, menu-bar
presence status, no account, and local camera processing.
LookAway is better for Smart Pause, blink reminders, polished break timing, planned breaks, stats, and an eye-break-first workflow.
Peeku is better when you want the Mac to understand whether you are at the desk and you care about the presence/privacy model as much as the break timer.
One useful detail: Peeku's Mac App Store version includes private coaching and an optional screen-saver-based walk-away lock, which is off by default and needs no Accessibility permission.
Compare Peeku with LookAway and other apps or try Peeku on the Mac App Store.