No, the pH of water is 7 (if pure). The pH of even dilute H2SO4 is 1 to 2- 7 is higher than 1, the pH of water is much higher than that of sulfuric acid.
The pH of something like household ammonia is on the order of 10-11 or more, higher than that of water.
pH is the negative log of the H+ concentration, and it works out that the equalibrium concentration of pure water is 1x10^-7, and the negative log of that is 7.