Hi Brad,
Yes, this is called digitizing your lettering by some. There are several ways to do it, but most common is creating a Photoshop bitmap file or Illustrator vector file. The vector file is the more preferred because you can scale the lettering without losing quality. Although it is also trickier to learn.
There are several threads you may want to search for on the forum already about learning Illustrator and this process.
I would search calligraphy vector or calligraphy illustrator on youtube. Alan Ariail, the alphabetguy, now a member of our forum, is an expert at this and I know he has some excellent videos on youtube you won't want to miss!
There are also several other members on the forum with strong Illustrator and lettering backgrounds so hopefully they will chime in as well.