Kanji are not such a huge part of N5 & N4.
Listening practice, and practice tests will help:
if you haven’t done N5…, all JLPT tests follow a particular format that it really helps to be familiar with, before the day of the test.
Technically, I think it can be possible if you are diligent. However, you said you are familiar with N5 grammar, but didn’t say that you have passed N5. It can be quite different to be familiar with grammar on Bunpro and actually using that knowledge on an exam.
Seconding the other comment, try JLPT samples and see if you are actually able to answer it. There’s also a lot of JLPT listening practices on Youtube, which will help you train your ears.
If you are at level 12-15 of WK then Kanji won’t be something holding you back much like Dara said. Having done N4 while underprepared and having focused mostly on WK/flashcards (+ Genki 1+2) before, don’t underestimate listening, you do need to put actual focus on it.
It depends what level you currently are, but if you’re most of the way to N5 currently, and are able to consistently spend 3 hours every day studying between now and december, then personally I think it’s quite possible to aim for a (maybe low) pass. Although remember it’s at the start of december, so more like 5 months
If you want to be able to pass, make sure you know what your weaknesses are in advance, and work on them. 3 hours every day is a lot of time if used well. If you practice listening and reading on top of WK/Bunpro and practice for the test format then that’ll prepare you well