No. Conversion Cloud only uses on-site surfaces: Rescue Pop-ups, Post Purchase Upsell, Shipping AI, and Checkout Widgets. Outbound abandoned-cart email and SMS are part of Redo Recover, a separate product. If you'd like to add Recover, your analyst can loop in the Recover team.
Does Redo email or SMS my customers under Conversion Cloud?
The boundary between Conversion Cloud and Recover.