Short answer: No.
Reason 1: She is in Japan, and internet asses is to expensave for the
avrage japanies person, even with somebody with her yen can't afford the time
to surf for fanfiction.
Reason 2: She can allways go to Comic Market for her fanfiction.
Reason 3: She is curently bussy creating manga. If she starts to surf for
fanfic, she will not have time to create (of corse, thay can allways lock her
in her room untill thoes 200 pages are done, like other creators. Just because
she is rich and adored, don't think thay can not lock her in her room).
Reason 4: Its not her job to check for coppyright infringment. Thats Viz
and Shokokan's job. And since the japanies companies allow fanfiction (up to a
point)...
Quartzite, the 5th Dark Genaral.