Curable and cured compositions are provided that can contain a significant amount of a renewable material based on vegetable oil. More particularly, the curable compositions contain an acid-modified epoxidized vegetable oil (acid-modified EVO) and a (meth)acrylic copolymer having pendant carboxylic acid groups. When the curable composition is reacted to form a cured composition, the acid-modified EVO, which contains greater than one epoxide group per molecule, functions to crosslink the (meth)acrylic copolymer by reacting with the pendant carboxylic acid groups. If the (meth)acrylic copolymer is elastomeric, the cured composition can be a pressure-sensitive adhesive.