Firstly, to answer your question directly: Yes, it is a reasonably common English idiom.
Such words are called eponymous verbs, and are formed by the process of metonymy.
Modern examples include Bobbitted and Tebowed, but there are many other examples using names of real and fictional people alike, such as Bogarted, Borked, Boycotted, Casanova'd, Houdini'd, Heismanned, Lewinsky'd, Pompadour'd, Scrooged, Scully'd - some of which had but passing currency in common usage, and some of which have stayed with us to the point where we don't even realize that "borked" and "boycott" are eponymous any more.
Then there are a few names-via-company-names like Hoovered, Biro'd, etc.
Similarly, there are other words used in an eponymous sense, but only with suffixes like -ize, or as other parts of speech (nouns, adjectives). So we have Gerrymander, Bowdlerize, Spoonerize, Mesmerize, Galvanize, Herculean, Erotic, Chimeric, Atlas, Streisand Effect, Victorian, Chauvinist, Quisling, Faustian, Sisyphean, Quixotic, Diesel...
Somewhat related, though I feel they are using the names in a different sense:
Simon & Garfunkel ("A Simple Desultory Philippic"):
(Or How I Was Robert McNamara'd into Submission)
I been Norman Mailered, Maxwell Taylored.
I been John O'Hara'd, McNamara'd.
I been Rolling Stoned and Beatled till I'm blind.
I been Ayn Randed, nearly branded
Communist, 'cause I'm left-handed.
That's the hand I use, well, never mind!
I been Phil Spectored, resurrected.
I been Lou Adlered, Barry Sadlered.
Well, I paid all the dues I want to pay.
And I learned the truth from Lenny Bruce,
And all my wealth won't buy me health,
So I smoke a pint of tea a day.
...
I been Mick Jaggered, silver daggered.
Andy Warhol, won't you please come home?
I been mothered, fathered, aunt and uncled,
Been Roy Haleyed and Art Garfunkeled.
I just discovered somebody's tapped my phone.