Yo need to have a least a reasonable hemoglobin to be eligible for surgery. With a breast lift I usually only lose a tiny amount of blood. If you can be safely put to sleep then getting a breast lift should be okay. Make sure your surgeon is comfortable and does not lose much blood with their breast lifts. Good luck.
There is very little blood lost during breast lift surgery. It might be possible for you to have surgery. What's most important is for you to know the reason for your anemia, get it treated if necessary, and to know if your anemia is stable enough to make surgery safe. Your family doctor or a hematologist can help you determine these things. Good luck to you.