No, all of your CPL and IR training is dual time except your successful skill tests which are P1S.
Although some schools may allow you to start your CPL with only 70 P1 hours, you need to take care because, in order to gain the 5 hours dispensation on the 55 hour IR course (making it a 50 hour course) you need to have "met all the requirements for CPL issue" before you start your IR course.
I would therefore recomend that you have built your P1 hours to around 100 before you start your CPL, as well as the 300nm cross country, 5 night hours etc.
Linda