No, not to my knowledge.
In my opinion, the closest thing we have to such a count is the number of Esperanto learners on Duolingo: currently over 500,000 with over 1,000 new learners per day. With the launch of other Esperanto courses, we should reach 2 million learners by 2018 and 10 million by 2025, thus in some way fulfilling Zamenhof's "promise" from 1887.
I have to echo the sentiments of Neil Roberts earlier criticizing the marketing strategy of this idea. While a good idea in 1887, I believe this is a terrible idea in 2016. Even in 1887, 10 million (the original number) was way too high to be realistic in the pre-Internet age. However, to see how many active speakers there are, I'm happy we have Esperantujo.directory and soon, the app Amikumu.
In any case, we already have "enough" speakers worldwide to make it useful. When speaking about marketing strategy, I'm disappointed that so many in our community focus on the original goal, which makes us look like a failure. Instead, it is more useful to compare it to other planned languages, which in that light makes Esperanto a huge success that over a million people are still speaking it a century after its original creator is no longer with us!