In short, no, at least not at this point. Unfortunately I was not able to read the entire article, but what I understood from the abstract is that it was only meant for very small volumes and masses, but if they did manage to levitate a cup of coffee, that is a step in the right direction.
But there's another problem with this method - it uses high-intensity sound waves, although I am not sure at exactly what intensity, so it would likely be uncomfortable or possibly even dangerous to levitate a living being in this manner.
Also, I imagine that the device that would be able to levitate the mass of a human with sound waves would be relatively bulky, and there is the factor of the protective equipment that would likely be necessary.
But I do believe it is possible, as just about anything is possible. I just don't think that it is the best way to levitate a human. Other non-living materials, sure, it could be a great thing. But I think there will be better ways to do this with new discoveries. As for if you can levitate soon, who knows. There could be a discovery tomorrow that would allow you to levitate, or it could be years.
UPDATE: I found this bit of information on Wikipedia:
There is no known theoretical limit to what acoustic levitation can lift given enough vibratory sound, but in practice current technology limits the amount that can be lifted by this force to at most a few kilograms.
This was in the article on Acoustic levitation that Rody posted.