Yes it is. However according to the old texts on HiME, it's called a Highly Materialized Element, a sort of version of the Slaves but more advanced. The downside is that the old text state that if the Child dies in battle, someone closest to you will die with it. Which is why I only use Artemis to materialize my equipment.

Yes, they move independently. I used to be able to create only two, but I can make multiples up to four or eight now.