The answer is yes provided that you completed 3 take-off's and 3 landings as sole manipulator of the controls i.e. the instructor did not intervene or demonstrate anything during those circuits.
IRRenewal's reference is corect and the sole manipulator reference is correct.
BOSE and Whopity, I think you should re-read the question;
do these still count towards the 90 day rule for daytime passenger carrying as I was the 'sole manipulater of the controls'
My emphasis.
I would be interested in how Bose describes the sole manipulator requirement as "a misnomer " and how they can say that "Training with an Instructor automatically overrides that requirement"
As far as I am aware, one can complete several hours training with an instructor but if one has not completed the required take-offs and landings as sole manipulator of the controls then one is not permitted to rely on the training or the take-offs and landings completed by or assisted by the instructor to carry passengers under the 90 day requirement.
Regards,
DFC