Yes, he is correct that no man is an island. Each of us is somewhat dependent on others. And yes, luck matters. But to hear his speech, it appears that he thinks that the only difference between success and failure is luck, and government assistance. Maybe with his friends, but that isn't the case for the rest of us.
ScopeRoller isn't a big operation, and it isn't a big employer, but it does provide my son some hours at a decent pay rate, so he doesn't have to do pizza delivery, and it has provided some hours to others in this area in the last year or two.
This isn't luck. It's hard work and thought. I rather doubt Obama has any experience with either.