Neither Germany nor Japan had major bomb production programs. Both were stuck in essentially the "proof of concept" stage for reactor and enrichment mechanisms. Which is to say, they were doing some research, but they were years away from developing weapons by the end of the war. Bottom line is they didn't really think it is was a very feasible project for the wartime period — lots of risks of it not working out, lots of reasons to think it would be very hard to pull off. And they weren't entirely wrong! It was significantly harder to get done than the USA realized when it committed to an actual production program in late 1942.

On the German side, there are many other answers in the FAQ on this.

As for cooperation — there was little cooperation in general on military technology between the two. Logistics seems to have played a role in it (it's not the easiest thing to send stuff from Germany to Japan and vice versa during war — there were several subs with technical data sent to Japan towards the end of the war, but that's not exactly the most convenient method), and it's not clear that the Germans knew the Japanese were working on fission research or vice versa. In fact, when Japan requested uranium from Germany (the famous U-234 submarine shipment, which never made it to Japan), they specifically said they wanted it for chemical catalyst research (maybe they did, maybe they didn't, but it's of note they didn't say "we're maybe interested in fission, too").

There is probably more that can be said on the nature of the German-Japanese relationship but it was not like the US-UK relationship which was characterized by sustained scientific and technological collaboration.