PAK, the GFP protein is one of the most ubiquitously used proteins in biology and it is insertable into pretty much any organism. So, yes we could make a human that would fluoresce except that human experimentation like that is rather immoral (and in most countries banned.) No self-respecting scientist would ever perform this type of experiment on another human being.
The process is rather simple. An embryo (of any animal) is injected with the GFP gene in a carrier vector. Embryos that pick up the vector have a marker that allows them to be selected for and those embryos are then grown to maturity. Since the vector only inserts randomly in to some cells not all the cells in these adult animals will have the gene. However, statistically some of the sperm/eggs will have the gene and so when you breed out you have the chance of getting an embryo that has the GFP gene in every cell.
Does all that make sense or did I go into too much techno-babble (a hazard of the profession.)
I don't know why the pigs are making front page news, years ago it was done with fish (which then entered the market as a novelty item sparking a HUGE debate) and it was also done in a monkeya few years back here in the U.S.