Blood mixed with water if got onto the eyes can transmit hiv?

Seems very unlikely: If there is no sore on the eye or eyelid, i doubt blood diluted in water would have any concentration high enough for this to be a great risk. Keep in mind you probably can never say zero risk, but this one should be very very very unlikely.

Possibly: If the blood was contaminated with HIV then it can mix with the tears of the eye, and pass into the nose and into the GI tract. If there is a break in the surface anywhere in this passage, the virus could enter the body and cause infection. This would be a rare event but is theoretically possible.

Very Unlikely: Theoretically, this can transmit HIV but the chance is extremey low. I would immediated irrigate the eye. And get tested just to be sure.