A Polish Google search that resulted in a click to my blog asks: "foreign corp doing business in NY requires registered agent"
Here is the belated answer: Nie
New York law does not require a foreign corporation (i.e. a corporation not organized under the law of New York) that does business in New York to designate
a registered agent to accept legal papers on its behalf. See New York Business Corporation Law Section 1304.
However, foreign corporations doing business in New York must file an application for authority do business in New York with New York’s Department of State. As part of the application for authorization to do business in New York, a foreign corporation has to designate the Secretary of State as agent to receive process on its behalf.
For information on the process, what constitutes "doing business in New York" and related questions, read this brochure by the Department of State.