Could Greece ask Britain and the United States to build a small F/A-18 carrier?
Short answerAn adapted older American carrier, perhaps a Midway-class ship, is more likely, although its heavy crewing demand would be difficult for Greece.
NotesAn existing American carrier, likely an older Midway-era hull or comparable ship, would avoid the cost of a bespoke Greek design for F/A-18 operations. The United States would already possess the deck, lift, arresting, and maintenance experience needed to adapt it. The harder problem is personnel because American carriers were designed around much larger crews than many allied navies could sustain. Greece would therefore need extensive automation, a reduced air group, or outside support to make the acquisition practical.