not really, but sorta? there's no wallrunning (yet) but that's not necessarily a bad thing right now imo. if you go in expecting the full blown chaotic action of TF2, you'll probably be let down - the map is a little more contained than PUBG or Fortnite, but it's still very 'open' in it's design, and i don't think the current map would really make sense with it, but i could see a different, indoors arena type map where it would work somewhere down the line.
that said, the mobility is hands down the best in any of the BRs i've played to date. that combined with the gunplay have made a very good first impression so far. Blackout kinda struck a nice balance between PUBGs ARMA-style realism and Fortnite's... whatever the fuck you wanna call how that gunplay feels, and Apex has the same arcade-y feel but there's ziplines and shit everywhere and you can do the Destiny crouch slide for like a whole football field. if they can get an update schedule that resembles what Epic does with Fortnite's updates it could be really cool