Downwell

Shooting and jumping are performed by the same button (, by default). For this, you need to take care while avoiding enemies and going down. If you shoot even once, you void the trophy. Each area is progressively harder than the previous one, so you should get this trophy ASAP.

Area 1-1 on Normal is the best place. Avoid enemies and do not press more than once on each jump! It doesn't matter if you get hit, as long as you complete the area without shooting. The trophy will pop at the upgrade selection screen.