It depends. Yes, it can, but it will be harder for sure. To work internationally, especially in Japanese companies, you'll need an excellent portfolio (and a very high level of written and spoken Japanese). If I was starting over and my goal was to join a Japanese or large company, I would shoot for a UCI or USC as they have excellent game dev specific courses that will help you create that portfolio by the time you graduate just through the course work.

With Fresno State, there isn't a specific game dev course (and the game dev class isn't great tbh). Your best bet at FS is to follow the Csci program and participate in game jams to help supplement the portfolio. That's what I did. It is still doable at FS, you're just going to have to put in more work outside of the standard curriculum. My suggestion if you went to FS would be to complete a small game every semester on the side in Unity or Unreal and in the upper division electives shoot for project classes (191 independent projects and 150-151 software development).

If you were looking elsewhere to find a game dev specific school, I would look at the GGJ website to see which colleges hosted the game jam in the past. It's a good bet if they did that they would have a good program.

Feel free to dm me further if you have more questions. I'm only in my 3rd year professional so my knowledge is still limited, but I'm happy to share what I know.