Can an axle failure cause transmission damage?

I took my 2005 Accord to a Honda dealership because it was vibrating (it would start at about 20-25 mph then it would stop at higher speeds). They said that I needed to have both front axles replaced. I chose to have aftermarket parts. The shaking continued, so I brought it back the following week. They said that the passenger side axle "failed" and they replaced it. The shaking still continued. I brought it back the following week and they said that they weren't really sure what was wrong. They said that using OEM parts might not solve the problem, and that it might be the transmission but they weren't sure. That was back in August. I started taking my car to another dealership. I paid to have them look at the axles that were installed and they said that they looked ok (weren't loose). I just got my car inspected and was told that the axle seal on the passenger side is leaking bad and they suggested I take it back to the other dealership. I did and they told me that I need a new transmission ($4,088). Is it possible the axle that "failed" caused the damage to my transmission?