Today, Dani was awarded his blue belt. He has a very busy schedule, but still manages to train regularly and he even competes a few times per year. That takes a lot of dedication. Congrats Dani!
Even if you live a very busy life, you can still find time for BJJ as Dani shows us by example. You might not be able to train as much as other people who can dedicate more time to the sport, but you will still improve and get/stay fit. Of course you won't progress as fast as someone that trains twice as often, but it's not a race. A little training is still vastly superior to not training at all.