No.
The sentence is correct if you and the article 'a': "She started her journey a long time ago."
a long time ago a long time ago
in 1006s long ago
You can start a myth by saying, a long time ago there was a god named..... Or you could say, a long time ago, there was a _____ named____.
a long long time ago
The pioneers settled a long time ago.
Long ago, I operated a mimeograph machine.
a long time ago
a long time ago!
it was 98 years ago
long long ago
No. For some reason, seasons are not capitalized, except if the season is being personified, for example, in poetry. This is something of a departure from years ago, when seasons were given capitals, but this trend has shifted in the last couple of decades.