I am not sure what "a female breast pump" you have, so it's hard to tell the difference.
If you have a milk pump, like the one women use to express milk when lactating, then the Noogleberry is a completely different thing.
Milk pumps suck on the nipple. They are useful for breast growth as they create a lot of blood circulation in the area, and they may indeed make the nipple slightly larger (I've been toying with it for two years and my nipples haven't grown, though). From an earlier conversation I had on this forum, I found out that the hole in the funnels was too large for me, and I bought these flanges to improve the suction. Trust me, it feels twice as good as it used to.
https://www.amazon.co.uk/dp/B0CMPBBHMZ
Noogleberry has cups (domes) that encircle your whole breast and literally pull it out of your body using vacuum. The idea is to stretch the skin that would form your breast so the body can fill it up easily. I have seen many success cases with Noogleberry. It takes a while and it may leave temporary scars if you are not careful, but it does work. Personally, I like the feeling of the suction. Also, after pumping with Noogleberry (there are several techniques) you will have instantly, albeit temporarily, larger breasts for up to 48 hours. I literally go up 1 1/2 cups in less than 2 hours. Some gains may be permanent if you pump a lot and consistently. There is a forum for people showing their results with Noogleberry at
https://forum.noogleberry.com
One more note: I recently bought these suction/vibrating things. They were just £10 aso... why not?
https://www.amazon.co.uk/dp/B0CFV5FQ67 They attach to the boob using suction and they vibrate. I don't get too much sexual excitement from them, but they are practically a massager that sticks on and can be worn while doing other stuff.
I tried them in combination with the Noogleberry (see image attached) and... wow! I got 2 cups (temporary size) and it took more than 2 days for the extra swelling to disappear. Great combo.