Because archers do the same movements on the same side hundreds of time, their bodies can become lopsided. “We're strong on both sides, but just in different places.
Does archery cause muscle imbalances?
Skeletons of archers from middle ages show skeletal imbalances due to archery. I'd just say do a good gym workout like cc46 says and trust cross body transfer effects.
How does archery affect your body?
Archery fuels your body.
In addition, properly drawing a bow strengthens your core, arms, chest, hands and shoulders. A strengthened core also improves posture and blood flow, boosting energy levels as your cells pump oxygen to your organs and muscles.