Yes. Baby corn is not a root vegetable, so in Jain practice it is generally allowed. Jains avoid root/underground vegetables (like potatoes, onions, garlic, carrots, etc.) because pulling them up harms the plant and tiny life in the soil. Above-ground vegetables, including corn products like baby corn, are typically considered permissible, though practices can vary slightly by Digambara vs. Śvetāmbara traditions or local guidance. If you follow a specific guru or temple tradition, you may want to confirm with them.

You can read more here