If tomatoes are fruit
Definition 1:


  A smoothie (also known as a "smoothy") is a blended, chilled, sometimes sweetened beverage made from fresh fruit (fruit smoothie) or vegetables and in special cases can contain chocolate.


Definition 2:


  [...] a thick beverage of fruit pureed in a blender with ice and milk, yogurt, or juice.



Ketchup is not considered a beverage by anybody I know.
Ketchup is not made only from fresh fruit and ice/milk/yogurt/juice.  It has many other ingredients.
Ketchup is probably not made in a blender.
There are plenty of food items made from fruit that aren't smoothies (is applesauce a "smoothie?").


So, no, it's not a smoothie simply because it contains a fruit.