Wesley? No. Well... maybe.
Picard admits to this in the Star Trek: The Next Generation episode "Attached". Beverly had previously admitted to a sexual interest in Picard when under the influence of the polywater virus in the Star Trek: The Next Generation episode "The Naked Now". ProfessorTrek 21:16, July 16, 2011 (UTC)
Wesley? Only in JJ's new reboot.
That's why he wanted him to sit in his chair.