Almost certainly yes, or at least extemely close. You always have to expect a small degree of difference as there are some factors such as the sizing of the garment (if the template is based on a Large and you order an Small, the image will look larger).
Each garment is made manually by a print operator and he will take great care to ensure it comes out well.
Even so, once you receive your order, if you want to enlarge or reduce a design or change the size, no problem! We'll take care of that for free.
An example of a screen image with its corresponding final product: