No.
On Sept. 2022, Ryan Reynolds and Hugh Jackman announced on Ryan's Twitter account: (tweet 1) (tweet 2), that Hugh Jackman will reprise his role as Wolverine in a third Deadpool film to be released in 2024. This Deadpool film will be set in the Marvel Cinematic Universe.
While many beloved comic book stars have been played by multiple
actors, there’s really only been one Wolverine in the movies. “Well, I
was greedy,” Jackman says. “I held on to it for 20 years. And then, of
course, since I left, it’s been bought by Disney. I’m sure the plans
are afoot.”
A few weeks later, I talk to Jackman on the phone, and those plans are
clear. “I straight-up lied,” he says. “But you’re not the only one I
lied to, let me tell you.”
He really meant it when he said he was retiring as Wolverine. But then
in 2016, “I went to a screening of ‘Deadpool.’ I was 20 minutes in,
and I was like, ‘Ah, damn it!’ All I kept seeing in my head was ‘48
Hours’ with Nick Nolte and Eddie Murphy. So it’s been brewing for a
long time. It just took me longer to get here.”
At the end of August, during a road trip to the beach with his family,
he finally made the decision. He called Reynolds, who’d been pleading
“on the daily” for a Wolverine-Deadpool movie. “I think, actually,
he’d given up,” Jackman says. “I think it was a big shock to him.
There was a massive pause, and then he said, ‘I can’t believe the
timing of this.’”
Reynolds was about to meet with Marvel Studios president Kevin Feige
about “Deadpool 3.” With Jackman in, the rest is comic book movie
history.
“Oh my God, I’m thrilled,” Reynolds tells me. “It’s like old home
week. To get to be on set with one of my closest friends each and
every day is a dream come true. But to do it with these two iconic
characters side by side, that’s beyond our wildest dreams.” Reynolds
adds that the first time he talked to Feige — three and a half years
ago after Disney bought Fox — he’d pushed for bringing in Wolverine.
“It wasn’t possible then,” Reynolds says. “For this to be happening
now is pretty damn exciting.”
— The Story of Hugh Jackman in Five Acts. Variety