Since blood pressure is partially dependent on height and weight, as well as genes, the answer is most definitely yes. Despite recommended levels, even different humans have a range of what is ‘typical’. A minimum blood pressure is needed to keep large vessels from collapsing, so the larger the animal (and thus the blood vessels), the higher the blood pressure needs to be.
While dogs and cats have similar ranges to human beings, elephants have a much higher average blood pressure to keep their much larger vessels open. While a ‘normal’ value in human beings might be considered to be 120mmHg (millimetres of mercury), in an elephant 180mmHg is average. To counter this, elephants have much lower resting heart rates.