The Crystal Gallery, part 1 is a snake level, making the route to success pretty straight forward. Just follow the snaking path that will go from side to side without jumping and you should be good. Depending on the character you use, completing this achievement could be more or less easy.
Slow characters with great maneuverability are great, such as the Lizard, Runner, and Pastafarian. The Pastafarian makes this achievement extra easy as her light tunnel bridge can help you cross difficult gaps. However, fast characters like the Skater can work as they can glide past two-tile gaps. Overall, most characters will succeed in attempting this achievement.
The Bunny is not allowed, because it hops violating the no jumping rule.
- This achievement was originally suggested by AK Cuber, the first accepted suggestion on Run Wiki.