Nope. The official term is "deep-seated," though it's a common error that editors still seem to be on top of.
See also:
Language Log: http://itre.cis.upenn.edu/~myl/languagelog/archives/001815.html
Google Ngrams: https://books.google.com/ngrams/graph?content=deep-seated%2C+deep-seeded&year_start=1900&year_end=2000&corpus=15&smoothing=3&share=&direct_url=t1%3B%2Cdeep%20-%20seated%3B%2Cc0%3B.t1%3B%2Cdeep%20-%20seeded%3B%2Cc0
Deep-seeded vs. deep-seated
Deep-seated = deeply fixed firmly in place. Deep-seeded is a misspelling.
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So there’s a name for this now. And a website, The Eggcorn Database.
The most wide-spread example I’ve noticed is “tow the line” (should be “toe the line”, of course).