Yes, new ideas are always popping up in my mind. If the idea won't help me focus on my current project, then I write it down and research it later to find out (1)if the idea has already been executed well, (2)if a better idea has been executed, (3)how I can modify and improve the idea, (4)if the idea wouldn't work and should be discarded.
One way of thinking that helps me generate ideas is to determine the objective, but don't limit yourself to current technology that is used to achieve that objective. For example: near light-speed travel is often imagined in a ship that can accelerate to that speed. However, digitally uploading one's mind, 3d printing a new body with organic materials at the destination, transmitting the mental data via light, and downloading the data into the new body before recycling the old body would achieve the objective in a totally different way.
I'm always excited when something that would be extremely valuable is considered impossible by nearly everyone. I don't waste time thinking, "It's impossible and may never be possible." I convince myself that in this or another universe/time someone has figured it out. I try (often in awe of this imaginary innovator) to discover how she/he did it.