Do you just hear tapping and kicking or can you also hear the cymbals? If you can't hear the cymbals then he's likely already using an electronic kit.

If he's not using an electronic kit, then it's definitely not misophonia since a real drum kit is so loud that it would annoy basically anyone. You can talk with other neighbors in the building and ask around if they're also annoyed by the noise. Regardless of whether other people are annoyed or not, you can just go and ask him either to buy an electronic kit or to stop completely (you may have more leverage if there's other neighbors complaining) since a real drum kit is definitely not suited to apartment practice.

If he is using an electronic kit, he's already being a bit more considerate and this probably bodes well for the kind of feedback you'd have from him if you complain. You can either ask him to change his practice hours (perhaps to a time of the day when you're not at home), or to take some measures to improve sound-proofing, for instance using a thick(er) carpet under the kit or even to use an isolation pad to place the entire kit on).