Not at all.
Just to make you feel better, last fall Ellie had a bile acid test done (two blood tests within two about two hours) and a couple days later she had a blood panel done. I think it was about five weeks later that she had a repeat bile acid test along with another blood panel and two titer vaccine blood tests. The time when she had all of this done I think they only had to take blood twice. It didn't affect her at all.
By the way, this was all drawn from the neck.