No, not always. I guess I'm having a hard time explaining it.
Here's an excerpt from a website https://www.americanpregnancy.org/gettingpregnant/ovulationfaq.htm
If an ovulation predictor test kit says positive, that means that I am for sure ovulating, right?
Ovulation predictor kits determine whether the luteinizing hormone (LH) is detected. The luteinizing hormone (LH) rises right before ovulation occurs. Therefore the kits are supposed to detect whether you're going to ovulate but cannot ensure that you do ovulate.
Women may have a high level of the LH if they have certain conditions such as polycystic ovaries, premature ovarian failure (POF), or for women over age 40 who are experiencing perimenopause. Any of these conditions could result in a false positive result on an ovulation predictor test.
And this one:
Can I have a period and still not have ovulated?
Having a period does not necessarily mean that ovulation has taken place. Some women may have what is called an anovulatory cycle, (meaning no ovulation) and can experience some bleeding which is mistaken for a period, but it is actually not a true period. This bleeding is caused by either a buildup in the uterine lining that can no longer sustain itself or by an estrogen level drop. The main way to decipher if ovulation is in fact taking place is by tracking the body temperature.