Nope.
The ships were planned to be STOVL, with the possibility of future conversion to CTOL. Construction of QE began in 2009 to a STOVL design. In 2010 Liam Fox, the new Conservative Minister of Defence, one of the worst tossers in Parliament (I wonder what he's got on people, to keep getting nominated for a safe seat & getting ministerial jobs: he was once notorious for having overclaimed & been forced to pay back more expenses than any of his Shadow Cabinet colleagues) ordered them to be built as CTOL, placed an order for one set of EMALS & matching arresting gear, & had the F-35B order changed to F-35C.
While re-design was being done, QE continued in build to the original plans.
After 18 months Fox was sacked as MoD for a very dubious friendship with a lobbyist*. The new MoD looked at the cost of Fox's decision (taken before any costings, estimates of delays, etc. - both of which turned out to be a few times what Fox had allowed for), & flinched, & it was reversed.
So we went back to STOVL. The F-35Cs, EMALS parts, etc. with our name on went to the USN. I think Fox's Folly cost us between £100 & £200 million, but luckily not much delay on the ships.
The build process would have been fine if the original build plans had been stuck to throughout. The most expensive political meddling wasn't Fox's Folly but Gordon 'Prudent' Brown slowing down building to save money in the short term, causing a big increase in total cost.
*Adam Werrity - a close personal friend who he'd met when Werrity was a student & Fox was an MP. Werrity seems to have built his career around privileged access granted to him by Fox. He lived rent-free in Fox's taxpayer-subsidised London flat in the early 2000s, accompanied Fox on official visits abroad (including in meetings with foreign government ministers), shared hotel rooms with Fox, etc. & had been allowed into the MoD building many times & into meetings despite having no security clearance.