No.
As a noun, there is a cure
for something, as you note, in sentences like these:
"¢ Punishment can never be an effective cure
for acute social problems.
"¢ The magic cure
for inflation does not exist.
"¢ The master web site concerning the cure
for common colds using zinc lozenges.
www.coldcure.com/ -
"¢ ... The remedies do effect a cure
for ringing in the ears- the total elimination of the ringing ear noises in most cases or at worst, a substantial reduction of ...
www.doctor-brom.com/As a verb, "cure" is used with
of -- often with the past participle -- to express the separation (of someone or something) from a problem:
"¢ Now doctors believe they have cured him
of the disease.
"¢ The experience was a detestable ordeal and it cured him
ofany ambitions to direct again.
"¢ Toastmasters cure fear
of public speaking through public speaking. Darren J. Clarke, News Office April 10, 2002. Whether they freeze ...
web.mit.edu/newsoffice/2002/toastmasters-0410.html
"¢ DH Lawrence: I cannot cure myself
of that most woeful of youth's follies - thinking that those who care about us will care for the things that mean much to us. ...
www.brainyquote.com/quotes/quotes/d/dhlawren151175.html _______
As a verb, "cure" is not followed by any preposition when there is no mention of the malignant cause the object will be separated from:
"¢ An operation finally cured his shin injury.
"¢ We need to cure our environmental problems.
Rachel
_______
Example sentences are from the Collins COBUILD English Dictionary (HarperCollins, 1995), except for those with URLs, which are from Google.