So I'm not talking about cross-pollinating, but maybe I'm just ignorant and that is basically the same thing. But in the videos I've watched, they seem to only be "breeding" by pollination of the succulents flowers. But what if a succulent doesn't have flowers? Isn't a bloomer?

If I wanted to cross a jade with a kalanchoe, could I do it?

All plants bloom - that is their main way of regenerating their species. But some are more difficult to bloom then others.

The plants also need to be somewhat related. Jade and Kalanchoe are in the family Crassulaceae but then their family trees go in different directions so, I don't think so.

Gasteria and Aloe can be crossed but, they are in the same tribe, just one step above genus.

How to make your own crassula hybrids

All succulents have some type of flower. That is the only way that you can hybridize them taking the pollen from one plant and pollinating the flower of another plant.

So the key would be to grow both plants well enough to get them to bloom. That might not be as easy as it sounds. And then just because they are in bloom does not mean that they can be successfully hybridized. They have to be receptive and have the seed pod develop to produce seedlings. They have to be genetically compatable.

I grow orchids and I can hybridize a Cattleya with a Brassavola because they are closely related or compatable. I can not cross a Cattleya with a Phalaenopsis because they are not compatable. Just me wishing or want it to be possible is not going to overcome the genetics.