Perhaps, especially if one is wearing SCUBA gear or is in a submarine. ;-)
It could be that if one is deep enough underwater, the water pressure would block the tear ducts from emitting tears, unless one was able to burst into tears with volcanic force.
I’ve never done it, and I’m a fluent crier.
However, I’ve never felt like crying when I was underwater.
Next time I go swimming, I’ll bring my waterproof copy of The Ugly Duckling. ;-)