No, the paragraph sign does not work in pack.mcmetas. Instead, you use '\u00A7', which is followed by the character representing whatever colour you want.
A list of what colours are possible and how to get them can be found
here.
For example, the following pack.mcmeta would produce a pack description of "
Sample Text!".
{
"pack": {
"pack_format": 1,
"description": "\u00A73Sample Text!"
}
}
Hope this helps