Yes, you can play Fallout 4.
Yes, you can play Fallout 4.
It seems like the current problems aren't present. Reducing the settings slightly could work. Regardless, you'll still be able to run it.
From what I've seen, performance tends to drop across different systems, especially FPS. Also, it seems the AMD community hasn't been left out—Nvidia has been in close contact with them, though it's unclear if things are worse for AMD users.