Yes, albeit briefly. While Xavier and Magneto are gathering up mutants, they come across Logan/Wolverine (Hugh Jackman) sitting in a bar, but Wolverine tells them to get lost.
Yes and no. All films made under the Marvel Studios banner (e.g., Iron Man (2008), The Incredible Hulk (2008), Thor (2011) and Captain America: The First Avenger (2011) are all set in the same universe, with the characters crossing over, culminating in The Avengers (2012) movie ties these films together. Marvel also owns Punisher and Blade, however The Punisher (2004), Punisher: War Zone (2008), Blade (1998), Blade III (2002), and Blade: Trinity (2004) are not in the Marvel Cinematic Universe. Other Marvel-based films owned by other studios are NOT set in the Marvel Cinematic Universe, due to differing ownership. This includes Spider-Man (owned by Sony), the X-Men, and Fantastic Four (latter two owned by Fox). The Daredevil film from 2003 was released by Fox, but the rights to the character now belong to Marvel. The rights to Ghost Rider have also been returned to Marvel by Sony. In the case of X-Men, this film is linked to its predecessors and successors, as supported by the sequel X-Men: Days of Future Past (2014).