Depends on what you mean by realtime. If you mean intraday, then
no, not as far as I know of. If you mean timely EOD, then the
answer is maybe.
As mentioned above, short interest data is released twice-monthly,
eight days in arrears, so that the data relesed this past Friday
is a snapshot as of 20200930. The best and most timely source
of consolidated (all exchanges) data I have found to be FactSet.
Avoid ShortSqueeze.com, they don't include BATS and they are
usually two days late.
Short Volume, on the other hand, is available nightly on the FINRA
site for NYSE and NASDAQ and associated TRF data, and on the CBOE
ftp site for BATS data.
The are several sources of daily stock-lending (short-interst
surrogate) data available from private sources. The best known
vendor in this space is IHS-Markit (old Data-Explorers feed)
but there are several other, cheaper, sources. This data bear
the same or similar relation to short interest as ATP payroll
data bear to NFP.
Short borrow rates are available in one large nightly file from
IB's ftp, or can be scraped on individual names from several
other sources. And optionable names yield implied borrow via
put-call relationship.
You will find that a linear (VARX) contemporaneous "Now-Cast"
model of daily short interest using daily short-volume, stock-
lending, borrow/implied-borrow, recent stock movement, and
industry/sector economic variables as input is astoundingly accurate.
Recalibrate (shift to today-minus-8 current) every two weeks
when the report comes out.