Is there a way to run a cron job manually from inside the domain control panel cron section? I'm looking for a run button/link but I don't see one. Is there really no way to run a con job manually? Is there even a way to disable a cron from running?
There are no features in cPanel that will allow you to run the cron job on demand. I encourage you to vote for the existing feature request that's open for this functionality:
In the meantime, you'd need to use SSH (if enabled by your provider) to run the cron job manually. As far as disabling a cron job, you'd need to delete it to do that.