Yes. Cf. Martin Luther King.
A related name, Cartright.
It’s pronounced “clark” in Britain, so it makes sense.
I believe Tyler is “tiler,” someone who lays tiles.
“-ster” is a feminine form of “-er” (but didn’t necessarily mean a woman) so Baxter, Brewster, Webster … spinster, punster …
Rajesh Pilot
Also, I’ve heard tell of …
Shipchandler
Bottleopenerwallah
How about Forrest?
I had a Tailor in my London school class in the 70s. He was of (East) Indian decent.
I think it’s unwarranted to assume that how common a name is now is a guide to how common it was in the past. After all, at the time English surnames developed, farmer was overwhelmingly more common as an occupation than smith, but now Smith is far more common than Farmer.
There are a couple of things at work here. One is that over time, surnames undergo a “random walk” in terms of commonness. Just on the basis of chance, people with the name Smith may have a lot more children than those with the name Farmer. Simply due to random processes, one name can become much more common as time goes on while others may die out.
Second is the value of the name in distinguishing people or in terms of prestige. When everyone was a farmer, the name Farmer didn’t distinguish them so a short farmer would be called John Small rather than John Farmer. However, there might not be more than one Smith in a village (but every village would have one), and Smith was a high-prestige occupation, so that if you said John Smith everyone would know who you were talking about.
English is standardized?
Well, I guess it can be understood through tough thorough thought, though.
I bough to the master! 
I remember this coming up when we were taught about the “professions as last names” things in school— why aren’t more people named Farmer, something that must have been one of the most common occupations?
The explanation given was that “Farmer” as an occupation didn’t denote someone who raised crops or cattle, but actually something more like a tax collector, and therefore not a super common position.
This is known as a Galton-Watson process. The link shows how some branches of a tree can die out while others become very common strictly due to random processes. (This said, there are problems applying this to surnames, since new surnames may be created or adopted, and others discarded, and this may depend on the character of the name rather than random factors.)
With “farmer”, you’re also going to find that when surnames were becoming common in England, a good number of people doing farm work were serfs. And as serfs, they did whatever the Manor Lord needed to have done on the property, even if farming tasks took up the most time. “Farming” might not even have been considered a profession, since it’s what most people did. Calling someone “Tom the Farmer” didn’t tell you much of anything about him.
OTOH, if you’re name is Jack Bauer, everyone knows you’re no farmer, but you’re the most bad-ass guy in the neighborhood. (Bauer = farmer in German.)
Which is related to boor, originally a peasant or farmer, which became synonymous with a rude and uncultured person. Likewise, the South African Boers take their name from the Dutch word for farmer.
And if surnames representing prestige professions are overrepresented in the population, it may not be just that people tend to exaggerate their status. It might be because men with genuine high social status had an unusually large number of offspring who inherited the name. When surnames pass down the male line, their inheritance follows the same pattern as the Y chromosome. So the process could be analogous on a less extensive scale to the fact that about 8% of men across a huge swathe of Asia have a similar Y chromosome, putatively that of Genghis Khan.
Respect!
FWIW, my great grandfather was not allowed to have a legal surname, just Son of Abraham from That Shithole Stetl Somewhere. In my immigrant family (I’m first generation American) and most everyone else’s, a sort of respect was always shown to “A Real Yenkee”–any Jew actually born here, comfortable in the culture, and purified of all old-world problems.
You are as real as it gets. (Plus I looked up the Portsmouth Contract.)
ETA: On the other hand I’m not named Cohen–a professional title-- (“Priest”) and its variations. Then I could put on dog.)
If it’s any consolation, he was, like most of the first English settlers in Rhode Island, a refugees from the Massachusetts colony, kicked out for not toeing the Puritan religious line. I guess they should be thankful they weren’t hung as witches.
Eisenhower = iron hewer, literally, going by Germanic cognates.
-ster is related to Sanskrit strī, ‘woman’.
Natalie Merchant, no relation to Ismail Merchant. Natalie’s father came from Sicily with the original name Mercante (same meaning).
Falconer to Faulkner, Fortner, Folkner, Forkner, Falk (at least- there may be more)