Sure can, but I'd have it done professionally.
It never looks the same on you. Even if it is the exact shade. So be prepared for that.
Is that straw color natural or dyed? If it's dyed, way too many color processes and you will wind up with orange hair. Use a color remover and plenty of a deep conditioner. If that is natural, I would darken it gradually.
Darken it gradually. That's a drastic change, and if you go to a dark auburn, you will wind up with medium or light auburn.
Try on a wig first. Make sure you really do like it. I have found our skin seems to match our natural shade better.