That does not seem to be the case. From the BBC

"Rishi Sunak has approved Mr Johnson's resignation honours list and "forwarded it unamended" to King Charles, the prime minister's press secretary said.

"He had no involvement or input into the approved list," the press secretary said.

By convention, a former prime minister's resignation list of new peers is forwarded to the House of Lords Appointments Commission (HOLAC), which vets appointments."