Yes and no.
“Preserve time” is a creative, poetic, eloquent way to say “save time” (the latter being a more common experience). However, they can be used interchangeably or specifically. Each person has associations or connotations related to each of the above words; for example, I think of preserve as related to food (such as jam, ferments, etc., while save is a bit fuller and more dramatic, such as “saving a life” from drowning. :-)