Manpot. Personally no. Its crossed our mind but we've never considered the reward to be worth the risk.
My understanding is that those who do it always seem to have a convenient 'engine overheat' or similar just as they're sailing past...and so have ducked into the nearest safe-harbour to sort the issue...and snorkel...and have lunch...and a few painkillers...
All such stories have come from people with UK passports, so not as simple as just going to Cruz bay to check in. It requires an appointment at the US Embassy in London...which takes months to line up and a day standing in line in order to get the required Visa...and then when in the BVI they also of course have to check in to Cruz Bay.