Very easy to tell - just slip the plant out of the pot, in the sink (put a paper towel over the drain to catch any errant soil and place the plant carefully on that while you test the pot) then run some water in the pot and see if it gets out the bottom. If it does, you're fine.
It looks to me like there is some sort of drain system, and maybe it's got a block to keep the soil from washing out, but it will still drain.
BTw, sometimes indoor plants - especially hanging ones - can get really dried out, and the soil then resists soaking up the water you pour in the top. Water just runs through, down the insides of the pot and out the bottom. It's a good policy to set your plants in a big bowl or a bucket and soak them thoroughly about once a month. They'll also appreciate a really good shower, so if you do this in the kitchen sink, spray them all over with water while they're soaking.
Guard against this drying out by knowing how heavy your plant feels after it's been well watered. Then if you lift it up and it feels really light, you know the soil has dried out.