I have recently ran into a situation where my druid was kidnapped from the rest of the group. Most likely the DM will have my character's armor, weapons, and items taken away. One of said items is a totem that my character uses as a druidic focus. So very likely I will not have access to my spells. However, it made me wonder if my druid could still use Wild Shape without the need of the druidic focus.
A druid doesn't need a spellcasting focus to use Wild Shape.
A druidic focus is described as this:
Druidic Focus. A druidic focus might be a sprig of mistletoe or holly, a wand or scepter made of yew or another special wood, a staff drawn whole out of a living tree, or a totem object incorporating feathers, fur, bones, and teeth from sacred animals. A druid can use such an object as a spellcasting focus.
The only thing a spellcasting focus does for any spellcaster is this:
A character can use a component pouch or a spellcasting focus ... in place of the [material] components specified for a spell.
You don't need a spellcasting focus to use any class features unless they say so, nor do you need a spellcasting focus to cast spells that don't have material components.
This means that a druid without any equipment can still cast many of their spells, and can use Wild Shape and any other class features.