Fish don't steal your bait. If you don't snag them, you just wait for another pass. You fish in visible conditions where you can see them making a run for the hook. And when you see the bob, or them get really close, hold the button, don't tap it. If they grab it while the button is pressed they'll become hooked.
This is all advice coming from someone (me) with significant nerve damage with laughable fine motor skills much of the time, so I can assure you none of it requires "twitch shooter levels of unreal" reflexes. Fishing is one of the activities I do when I'm having an extra bad function day and can't engage in combat.
Without actually seeing you fishing I'm unable to give any more specific advice.