Absolutely. Why not?
Just have to get that pesky transportation problem out of the way. Which shouldn't be too hard since that 96 odd percent of H2 can by itself serve as great (and free) fuel. At least for the return trip.
The great thing about an H2 powered rocket is that we don't have to cart around water for the round trip (I'm assuming we have a manned transport vessel). The combustion reaction itself will generate ample water vapor which we can easily condense given a large enough condensing coil. On the plus side most of the journey is through space at an ambient temperature of -270 K C or so, and hence the driving force for the heat exchanger coils is ample.
As an aside, the economics of the harvesting scheme could work out better if provision is made to also bring back some of the other gases to earth. Acetylene, ethane etc. might command a good price and especially as fossil fuels get scarce one must turn to other options.
I wouldn't harvest the phosphine though: the risk of a leakage and toxicity hazard to the crew is too large.
PS. One of the expensive parts of a conventional, terrestrial, H2 plant is the purification section. In this context the other gases on Saturn like ammonia, acetylene, ethane, propane, phosphine etc. would normally be a problem to get rid off, especially for applications that demand high purity.
One idea may be to have a small purification section on the spacecraft itself, since the extreme cold of space is a valuable resource. At about -200 C (which should be easy to achieve knowing space is itself at about 1K ) most of the impurities would have condensed whereas the hydrogen being still gaseous can be easily separated.