No, not really.
aprs.fi just records what it receives, including invalid
data, unless it manages to automatically detect the invalid data and
filter it out.
Because there is no convenient way to prove (in an automated fashion) that
someone on the Internet is the true authorized holder of that callsign, it
is not practical to let people delete data from
aprs.fi, as it would allow
anyone to delete anyone else's data as well.
- Hessu