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I bought a small Swiss cheese plant the other day and this morning I found water on its leaves, even though the rest of the room was dry. It felt and looked like water didn't smell anything. Is that normal for this plant?

It's normal for any plant, that's the way they work.
They transpire, which draws water and nutrients up into the plant, just like your blood circulates. They do that by evaporating water from their leaves which causes a slight vacuum inside the plant's tissues which causes more water to be "sucked up"
When there is high humidity the water on the leaves doesn't evaporate so quick, so you see the droplets.

It's a sign that you have a healthy plant.

Or maybe it's the big holes in the leaves making it leak ?

Or it could be whey, or cat pee

Is there a way to encourage a swiss cheese or philodendron to grow faster than simply watering and feeding with commercial plant food? The philodendron was huge but unruly and on trimming, I cut the wrong stem.