Yes. All five movies are canon to each other.
According to a Yahoo Movies interview with Jurassic World director Colin Trevorrow, the rebooted sequel is indeed canonical with the earlier trilogy. That being said, there was a conscious decision to exclude references to the two original sequels (Lost World and JP3) because he didn't like them very much and wanted to recapture the excitement of the original (and most popular) film.
Of course, Jurassic World isn’t a mere re-creation of Jurassic Park;
it’s a direct sequel to the original, set some 20 years after the
events of Spielberg’s film. (According to Trevorrow, the previous
sequels aren’t being written out of continuity so much as placed to
the side, as they both unfolded on a different island.) In that time,
a functioning theme park has been constructed on Isla Nubar, overseen
by operations manager Claire Dearing (Bryce Dallas Howard) and
employing hundreds of staffers, including velociraptor trainer Owen
Grady (Chris Pratt).
'Jurassic World' Set Visit: Recapturing the Dino Magic of the First Trip to the 'Park'
To confirm the link, information was added to the film's viral website detailing the events of the first three films, along with what's happened since the end of Jurassic Park 3.
Trevorrow: Yeah, we actually have a website that has a lot of backstory on it. It’s called “Masrani Global” and it’s the corporate
website for Irrfan Khan’s character’s company, and it details very
clearly the history all the way back to the Canadian Tiranodon
clean-up of 2001 and what exactly happened since “Jurassic Park III”
and how we reached this point. We mention it very briefly in the
film, just a couple moments to make sure that people understand that
this is in the same world and all of that is canon, which it is. Even
though this is a direct sequel to “Jurassic Park,” it isn’t that
necessarily in any official way, it’s just because that was a movie
about a theme park and so is this, and “Lost World” and “Jurassic Park
III” took part on another island and had nothing to do with the theme
park business, so they just were very organically not as connected,
but they do exist in this world.
Jurassic World Interview with Director Colin Trevorrow
Purely FYI, Colin Trevorrow was completely clear that the latest film is a sequel, not a reboot
Q. Mr. Trevorrow, everytime I read something, it says JW is a reboot. Please tell us that its not a reboot?! I'm going bonkers!
Colin Trevorrow: Reboot is a strong word. This is a new sci-fi terror adventure set 22 years after the horrific events of Jurassic
The fifth (and upcoming sixth) films are obvious sequels to Jurassic World and hence are also canon.