Isn't the real answer to that question "Yes, sometimes." That's because the source of inspiration is mostly unknown. That is why it can hit you at times that seem unlikely, such as the middle of the night or when you are in the shower.  

It is not conscious and sneaks up on you instead. That is why you have to be open to it and embrace it when it comes. If you don't, it is at your own risk of missing inspiration or letting it slide out of your mind. It reminds me of a line in the Bob Marley song Trenchtown Rock: "When it hits you, you feel no pain." In the song he is speaking of music, but it works for inspiration too. It is the idea that it can come to you at any time. 

So embrace inspiration whenever it is there. This may mean having paper and a pen on your night stand or walking out of a shower dripping wet to write an idea down. The idea is to be open to and accept inspiration when it is there so you remember and can act on your thoughts and ideas.  

And then see where it can take you.