No, yes, and it depends.
In the film days, Nikon used 52mm as their standard filter size for most lenses from 24-200. The standard filter size was one of their marketing points.
The lens sets that I remember which used the same filter size are: 50mm (f/1.2, 1.4, 1.8 and 2), and 135mm (f/2.8 and 3.5). I am pretty sure that there are other sets of lenses which used the same filter size, I think the 28mm and 35mm of f/2.8 and 3.5 had the same filter size of 52mm.
The 43-86 of 2 difference designs also used 52mm. The 43-86 used a trick, the 1st version had the ring with text inside the filter ring, the 2nd version put the text outside the filter ring, so the front element could be made larger, and still use a 52mm filter. Several Nikon lenses were made that way, to get a larger front element.
However, when the lens was FAST, the optical formula required a larger front element than could fit into a 52mm filter ring, like the 180mm f/2.8 which use a 72mm filter, compared to the slower 200mm f/4 lens which used a 52mm filter.
Example the current Canon f/1.2 L USM uses a 72mm filter, the 1.4 uses a 58mm filter, the 1.8 uses a 52mm filter. So in this case the faster lenses needed larger front elements, and thus larger filters.
Different brands use different standards. I think Pentax used 49mm.
Some had two standard sizes (example 52 and 58mm), so that the lens designers were not as restricted as the companies with a single standard size.
Some did not have a standard and used several/many different filter sizes. These were the worst for us.
For us, the more filter sizes used, made buying filters more expensive cuz you needed a set for each size. And the polarizing filter was painfully the most expensive filter. Or we only bought a skylight/uv, because we could not afford a set of filters for that lens.
As I recall 50mm f/1.4 lenses used filters of 49, 52, 55 and 58mm. (Pentax, Nikon, Mamiya, Minolta, Canon)
And for all practical purposes, they were equivalent lenses.
It just depended on the lens designers.
So to answer your question; no, yes, and it depends.