Hi Pirastrino!
At the moment, no. Not sure if they will ever officially implement this.
Other people have asked about this before, so it’s possible that a script has been made… Check out the section called “API and Third-Party Apps”. There’s a nice big list pinned to the top. If you don’t see it in there, there’s actually a thread to request such a script be made! ^^
EDIT: Actually, THIS might be just the script you’re looking for:
WOW THANK YOU!
That’s exactly what I was looking for. Now I only want a cram session and I’ll be the happiest kanji learner in the world 
Thank you once again!
You’re welcome. ^^
Is there a way to know exactly when and how many reviews will unlock ?
I can see the “X reviews next hour” and “X reviews next day” but is there anything more accurate, like a chart ?
I’m asking because I want to progress as fast as possible and I have a lot of free time, but I don’t want to have to check the website every hour. It’d be awesome to plan ahead and know that “ok I’ll need 5 minutes for a quick review in 2 hours and 13 minutes, and then 15 minutes for a big one in 8 hours and 37 minutes”.
The wkstats.com site can tell you when the expected level up will occur if you continue at the same pace you’re on, though I’m not sure if there’s a better way to see how much content will unlock at any given time.
You’re in luck, if you’re willing to install add-on scripts.
Does ultimate timeline do the things they want? It just shows coming reviews, not level ups or unlocks, right?
Edit: maybe I’m misunderstanding though
Mmm, well most of what they asked. It doesn’t show the unlocks.
I’d also like it more if it projected out all the reviews (like, assuming I pass the 4-hour one, there will be an 8-hour one), maybe greyed out for the ones that depend on passing previous ones. But it only shows the next review for each item, and how many will come at what hour of the day.
Wow that was fast !
I had a look at that website and it’s great, but what I want specifically is a way to plan my day around my reviews and have them done ideally as soon as they pop up. So at the start of the day I know I need to make a break at 12:25 and 18:50 for example. At least some way to know the exact time for the next review rather than something like “~1hour” would be great.
Edit : I’ll check the script thanks !
Ah okay, the word unlock threw me off, ultimate timeline should be all you need.
That would be a neat addition to the script - Ultimate Hypothetical Timeline, that shows every review and lesson, assuming you pass every review when it’s due and readjusting when you don’t.
It works AND it’s pretty. Thanks ! 
Exactly what I was going to suggest as well.
It does, actually. It shows when something is current level (and that can lead to levelling up if you pay attention to your SRS as you go), and when burn reviews are coming up as well.
EDIT: So, I suppose the correct answer would be “kind of”.
Right, but it doesn’t show the 8-hour and one-day review on the chart if I haven’t done the 4-hour one yet. So future days’ predictions are all lower than they really will be when the time comes. Also, it doesn’t show lessons that will be unlocked.
Not that it’s bad. I use it all the time and feel naked without it when I’m on the work computer. Just putting my wildest dream wishes out there.
Is it just me, or is the app wanikani not working right now? Of course this occasion didnt brought me away from the path of doing reviews, since the website is absolutely fine. But the App is so convenient. I tried multiple reboots – nothing happened. And I am scared I will loose my learning process, if I delete the app on my phone to do a re-install.
Any idea/suggestions?
I think you should contact the creator of the app. As far as I know, all WK apps are third party, so it’s probably good to check the third party app thread for your specific app.
Did you try for example resetting and re-entering your API in the app or something? (I’m not too sure how these things work)
I just took the courage and deleted/reinstalled it.
Everything works and still is the same.
Thanks for thr reply anyway! 
Np! Good to hear it works again
just to be sure. First couple of days on wanikani consist only of radicals? cause i got no “real” kanji or vocab (but review radicals like 3 times)
Regards