There hardly comes

[rainous]

There hardly comes a chance to do such a thing.

Does this sentence make sense?

[emsr2d2]

There hardly comes a chance to do such a thing.

Does this sentence make sense?

I understand what it means but it's not natural English.

A chance to do such a thing rarely occurs.
One rarely gets the chance to do such a thing.
The opportunity to do such a thing rarely arises.

As you can see, "rarely" is preferable here to "hardly". If you're talking about time, then "hardly ever" would be closer to "rarely".