No, because unless there is unusual circumstances (i.e blood in the urine) then the virus isn't passed along through urine, and even if there WAS a tiny risk in the undiluted product, the drops are so diluted that they don't even contain hcg anymore; just the essence/memory of it.
One would expect screening procedures to be in place. I don't know much about HCG or HIV. I read a Harvard Medical School newsletter on HCG and it mentioned a number of potential adverse reactions. The long-term outcome was suppose to be poor too due to a failure to change lifestyle, i.e., people making the same poor lifestyle choices.
You could always err on the side of caution and decide not to take it.
I think Dr Beckerman wrote a blog on HCG. You may like to check that one, and others, out.