The answer is no. To understand this, another concept must be introduced, the incessant ovarian cycle. This cycle accompanies the woman throughout her life, even before she has her period. About three months before the 14-day cycle that we all know as the menstrual cycle begins, the woman activates some of the thousands of microscopic follicles that are dormant in her ovary (primordial follicles). These activated follicles become the so-called antral follicles, which will be the protagonists of a fierce fight for ovulation.
Through ovarian stimulation, all or almost all antral follicles are stimulated so that they are capable of reaching maturity and being extracted by puncture. All these oocytes except one would have been attracted in a natural cycle.
Therefore, IVF and egg donation do not cause menopause to occur earlier, in the same way that taking contraceptives does not cause it to appear later.