Why?
To specifically answer the questions you asked: The chain will probably be ok as long as you carefully avoid cross-chaining. You'll know as soon as you have the new wheel on, and you probably have 2 or 3 links you can safely remove anyway. The derailleur will need a little tweaking, but probably not much - the hubs won't have exactly the same spacing, so you'll have to tweak your barrel adjusters and maybe your limit screws.
I'm not going to try to talk you out of it if you're just doing it for the sake of doing something different, but there are better ways to accomplish what you're trying to do. A 9 tooth cog is a huge gear on a 26 inch wheel. What chainrings are you running? I used to run a 46 tooth big ring and could do about 33mph in the 46-12, my biggest gear at the time (on 700c wheels). A 44-11 would be actually a slightly higher gear, so the same rpm gets me to 34+ mph. Even if I adjust that for skinny tires on 26 inch wheels, we're still looking at 28-30 mph. How fast do you need to go?
To specifically answer the questions you asked: The chain will probably be ok as long as you carefully avoid cross-chaining. You'll know as soon as you have the new wheel on, and you probably have 2 or 3 links you can safely remove anyway. The derailleur will need a little tweaking, but probably not much - the hubs won't have exactly the same spacing, so you'll have to tweak your barrel adjusters and maybe your limit screws.
I'm not going to try to talk you out of it if you're just doing it for the sake of doing something different, but there are better ways to accomplish what you're trying to do. A 9 tooth cog is a huge gear on a 26 inch wheel. What chainrings are you running? I used to run a 46 tooth big ring and could do about 33mph in the 46-12, my biggest gear at the time (on 700c wheels). A 44-11 would be actually a slightly higher gear, so the same rpm gets me to 34+ mph. Even if I adjust that for skinny tires on 26 inch wheels, we're still looking at 28-30 mph. How fast do you need to go?