No. Specialized knowledge must already be held from qualifying employment abroad, and time in the United States does not build it. Petition fees follow the USCIS schedule regardless of where training occurs.
Knowledge is acquired abroad; the petition costs the same either way
The L-1B category transfers knowledge that the employee gained through at least one continuous year of employment with the company outside the United States. Sending him to the U.S. plant to learn the method there inverts the logic and, if he works there without authorization, creates a problem that no later petition can cure.
The government charges do not change with strategy: the USCIS fee schedule (G-1055) sets the Form I-129 fee, the fraud-prevention charge and any other surcharge that applies to the petitioner, and premium processing is an optional extra. What the company can control is the cost of a weak file, because a denial for generic knowledge means a second fee and a record that must be explained. Spend on the process description and the translations of internal manuals before spending on speed, and keep advisory fees separate from government fees in any budget shown to the technician.