The short answer is, yes. It will be a reasonable representation of what you see.
Our product images are all digital mock ups, but we do go through each design and adjust colors layer by layer to get the best match before we begin printing any of our art. Our printers have been in the industry for over twenty years and are very good at what they do.
Please keep in mind that what you see on your monitor is a digital mockup with an approximation of both size and color.