Can a Path of the Totem Warrior barbarian have different totems chosen for each subclass feature at the same time?

I was creating a goliath Path of the Totem Warrior barbarian (PHB, p. 50), and had chosen the Bear totem for his 3rd-level Totem Spirit feature. The 6th-level Aspect of the Beast feature, however, is redundant for a Bear totem/goliath combination, since they both basically double his carrying capacity. I wondered if I could choose a different totem at 6th level.

I did notice the following language for each subsequent totem choice after the first (at levels 6 and 14):

At ___ level, you gain a magical benefit based on the totem animal of your choice. You can choose the same animal you selected at 3rd level or a different one.

My first assumption was that this is like swapping out spells known when you level in some spell casting classes, such as the bard (i.e. if you choose Wolf at 6th level, your abilities switch over to a Wolf Totem barbarian). After all, in online discussions, people often refer to a Bear Totem barbarian, or a Wolf Totem barbarian, but never do I see reference to a multi-totemed Barbarian. However, I wanted the 6th-level Wolf ability, but didn’t want to give up the 3rd level Bear ability.

Can a Path of the Totem Warrior barbarian have multiple totems? That is, can they have different totems chosen for each subclass feature at the same time?