I had HELLP Syndrom with my first child...and absolutely no issues or complications with my second. So, yes, it does happen!
It was very frustrating that no one could give me any solid information about the re-occurrence of HELLP in subsequent pregnancies. When I realized I was pregnant again (surprise!), I had a consultation with the head Physician of the Maternal-Fetal Department of our hospital. He basically told me that very little research has been conducted on HELLP so there are very few answers. All he did was put me on a 80mg dose of aspirin each day. From there, my pregnancy was handled by my OB (who diagnosed the previous HELLP) like any other pregnancy.
One of the things I heard (but I don't remember if it was on an internet HELLP support group or from the Doctor) was that when HELLP re-occurs, it typically does not re-occur earlier than it did in the previous pregnancy. But, again, I do NOT know if this is scientifically accurate or not.
I was very lucky, as my HELLP didn't develop until I was 37.5 weeks along and my baby was 100% healthy upon her birth -- she wasn't even sent to the NICU. I had absolutely no signs or symptoms of HELLP at any point with my second baby. He was delivered a bit early at 38.5 weeks (for other reasons, not concern about HELLP).
Perhaps you can talk to someone in the Maternal-Fetal Dept of your hospital. Call and see if they are willing to talk to you prior to becoming pregnant. Best of luck to you!