Well, yes, but that's like asking if you can use a Lamborghini Countach to drive to the corner store to get bread and milk.
I've got a 5372A but I've barely scratched the surface of it's capabilities. The 'condensed' Reference & Specification Guide is 103 pages long! Depending on the options, it can do things like period, frequency, time interval, phase noise, FFT, Histogram Time Interval (one of my favorites!), Allan Deviation, phase deviation, time deviation, etc. It's basic resolution is 150 ps. Frequency limit is 500 MHz or 2 GHz with the right option.
To directly answer your question, I just measured the frequency of the 1 PPS signal from my GPSDO. The 5372A measured it as 1.000 000 000 0 Hz. The measurement took one second. If you want more digits, average over a longer time interval.