No, you'll need something like an STL file, which is a type of 3D file typically used with 3D printing. It's not easy to do with Shapeways 2D to 3D creator because you need it to be an exact scale so that the letters are exactly the same size as on your model.
What you can do is get free software called
Fusion 360 and watch
this video and see if you can do it yourself. By the way, the download link says free trial, but it's actually free to use indefinitely if you're using it for personal use or you can use it for free for business use indefinitely if your business is not making more than 100K USD per year.
Another thing you can do is pay someone already proficient in 3D modeling to make the SVG into what you want for 3D printing. To do that, post your request along with your SVG
here and you'll get some quotes.