Yes, you can! Although gouache (a water-based opaque paint) is sometimes made with honey, gelatin, or oxgall (bile obtained from cows), there are vegan-friendly options such as Arteza and Holbein, and Caran D'Ache. Others brands only offer some of their paint colors without animal products including Daler-Rowney Designer's Gouache (vegan except for Neutral Grey 2, Paynes Grey, Lamp Black, Cool Grey 1-3, and Warm Grey 1-3) and Schminke Akademie (NOT their other paint lines).