I don't know about NY, but in Ohio that would probably get you into trouble.  The Ohio Revised Code states:

§ 1311.02. Lien of subcontractor, laborer or materialman 

   Every person who performs work or labor upon or furnishes material in furtherance of any improvement undertaken by virtue of a contract, express or implied, with the owner, part owner, or lessee of any interest in real estate, or his authorized agent, and every person who as a subcontractor, laborer, or materialman, performs any labor or work or furnishes any material to an original contractor or any subcontractor, in carrying forward, performing, or completing any improvement, has a lien to secure the payment therefor upon the improvement and all interests that the owner, part owner, or lessee may have or subsequently acquire in the land or leasehold to which the improvement was made or removed.

A title search for financing is not likely to be "in furtherance of any improvement" and it is certainly not "by virtue of a contract... with the owner..."  I would carefully check your state's statute for mechanics liens before you try to file one for a title search.  Better yet... get an opinion from an attorney.

Best,
Robert A. Franco
SOURCE OF TITLE