Yes, with this procedure you are required to fly the procedure turn unless you are flying the CVV transition (which is notated as NoPT), are receiving vectors to final, or receive a clearance for a "straight-in approach" over EYWOK. If you are cleared direct to the final approach fix, none of these apply (but remember that you can always request a straight-in approach if you don't want to do the course reversal)!
(j) Limitation on procedure turns. In the case of a radar vector to a
final approach course or fix, a timed approach from a holding fix, or
an approach for which the procedure specifies "No PT," no pilot may
make a procedure turn unless cleared to do so by ATC.
The AIM states:
4. If proceeding to an IAF with a published course reversal (procedure turn or holdinlieu of PT pattern), except when cleared for a
straight in approach by ATC, the pilot must execute the procedure
turn/holdinlieu of PT, and complete the approach.
5. If cleared to an IAF/IF via a NoPT route, or no procedure turn/holdinlieu of PT is published, continue with the published
approach.
6. In addition to the above, RNAV aircraft may be issued a clearance direct to the IAF/IF at intercept angles not greater than 90 degrees
for both conventional and RNAV instrument approaches. Controllers may
issue a heading or a course direct to a fix between the IF and FAF at
intercept angles not greater than 30 degrees for both conventional and
RNAV instrument approaches. In all cases, controllers will assign
altitudes that ensure obstacle clearance and will permit a normal
descent to the FAF. When clearing aircraft direct to the IF, ATC will
radar monitor the aircraft until the IF and will advise the pilot to
expect clearance direct to the IF at least 5 miles from the fix. ATC
must issue a straightin approach clearance when clearing an aircraft
direct to an IAF/IF with a procedure turn or hold-in-lieu of a
procedure turn, and ATC does not want the aircraft to execute the
course reversal.
7. RNAV aircraft may be issued a clearance direct to the FAF that is also charted as an IAF, in which case the pilot is expected to execute
the depicted procedure turn or holdinlieu of procedure turn. ATC
will not issue a straightin approach clearance. If the pilot desires
a straightin approach, they must request vectors to the final
approach course outside of the FAF or fly a published “NoPT” route.
When visual approaches are in use, ATC may clear an aircraft direct to
the FAF.