If so, where can I find it? I've searched high and low and have not found it. I want the outlined script font with the swash. I already have Team Spirit but it's not outlined.
I think "allowed" is subjective. *IF* it's a licensed font then the other artists' permission obviously wouldn't have anything to do with us.
It may have licensing restrictions (ie. not for commercial use) or it may not. The artist you of the piece you point to may have a permission unknown to us. So, your question is a little hard to answer.
I didn't look too closely but if it's Team Spirit (and if memory serves it's okay for commercial use) it's also possible the artist used their skills to work it further to create the outline - not every font we see used is as-is... some people do a lot of work in their art which includes treatment of fonts.
Letterhead Fonts has excellent fonts similar to this that can be purchased and licensed - and give a variety of default variations to start with. You might try there to find one to your liking? Some of their default fonts, in my opinion, are so well done that they encourage creativity just based on the font.
Looks like they just added a stroke to Team Spirit font. In Photoshop double click the text layer, a window opens, click the word stroke, change the color and size of the stroke (sometimes need to change position too, center is often better than outside)