No - just like Necro's you will only be able to have 1
main pet at a time.
When you try to cast another pet, your first will dissapear. You must then click the Summon Pet spell again to get your pet of choice.
Sure, the other spells are called and produce "pets", but they are only temporary or do no damage. I'm sorry, but the mushroom is just a pest - too many times I got hung up on it when I turned around. Now I never use it.
Conjurers don't get a charm spell.
Check out the new pet appearances in the upcoming
Live Update 18.