Yes. In fact many people find it easier to apply their make-up once they start wearing contact lenses because they can see what they are doing! From a hygienic as well as a practical perspective it is better to insert your lenses before putting on make-up. Also take your lenses out before removing make-up. You might want to avoid powdery and metallic shadows and mascara with fibres, in case particles get onto your lenses. Several brands offer formulas developed for contact lens wearers and those with sensitive eyes.