They can, but this will make it difficult for you to extend your F-1 status.
(213) 394-4554 x0 Mr. Shusterman is a former INS Trial Attorney (1976-82) with over 35 years of immigration experience. His response to your question is general in nature, as not all the facts are known to him. You should retain an attorney experienced in immigration law to review all the facts in your case in order to receive advice specific to your case. Mr. Shusterman's statement above does not create an attorney/client relationship.
They can petition you but the petition indicates that you intend to immigrate which will make difficult to extend your student status and obtain a visa if required.
I agree with my colleagues. The F-1 is not technically a dual-intent visa even though DOS knows that many Fs would hop on a temporary work visa at the completion of their studies and ultimately adjust status in the U.S.
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