There is a really short answer to this: No.
Because I am at work here is the long one!
There are many styles of fantasy leagues that would greatly influence your question.  Most fantasy leagues do not include defensive value of teams (aside from somewhat affecting ERA for pitchers.
Rotissirie Scoring - Scoring that accumulates through the year for the selected categories
**Head to Head ** - A head to head match-up for the selected categories in which you can either with 6 of the 10 categories for a 1-0 record for that week or you can be 6-4.  Both very different.
The categories are going to determine your question for the most part.  Common hitting categories are:  Batting Average, Runs, RBIs, Home Runs, and Stolen Bases.  Common Pitching categories are: ERA, Wins, Strikeouts, Saves, and WHIP ([Walks+Hits]/Innings Pitched).
To win a baseball game you need only to beat the other team in 1 category; runs scored.  Being that there are 9 other categories you will see a lot of fluctuation.
Let’s look at some live examples using the 5x5 Rottiserie scoring format. I am picking the AL Central for an example…and of course because the have the best team in the MLB, the White Sox!
Standings as of today:
Minnesota
Chicago  3.5 back
Detroit 9 back
Kansas City 18 back
Cleveland 21.5 back
Batting
Batting Average:   Runs:                  RBIs:                   HRs                    Stolen Bases
Minnesota .279     Minnesota 612    Minnesota 588    Chicago 145      Chicago 116
Kansas City .273   Chicago 587       Chicago  565       Minnesota 114   Kansas City 88
Detroit .270           Detroit 563         Detroit 539         Detroit 110         Cleveland 60
Chicago .268         Kansas City 515  Kansas City 492 Cleveland 97      Detroit 52
Cleveland .246      Cleveland 497     Cleveland 466    Kansas City 87   Minnesota 48
Assuming 5 pts for 1st place 4 for 2nd place and so on…
Minnesota - 20
Chicago - 20
Detroit - 14
Kansas City - 13
Cleveland - 8
Pitching
ERA                     Wins                  K’s                      Saves                 WHIP
Minnesota 3.94   Minnesota 72   Chicago 885        Kansas City 37    Minnesota 1.28
Chicago 3.99       Chicago 68       Detroit  821        Chicago 33          Chicago 1.33
Detroit 4.39         Detroit 63        Minnesota 813    Minnesota 28      Detroit 1.40
Cleveland 4.53    Kansas City 54 Kansas City 799 Detroit 27            Cleveland 1.47
Kansas City 5.00 Cleveland 50    Cleveland 704   Cleveland 25        Kansas City 1.48
Minnesota - 21
Chicago - 21
Detroit - 15
Kansas City - 11
Cleveland - 6
Total:
Chicago / Minnesota - 41
Detroit - 29
Kansas City - 24
Cleveland - 14
With the Sox being 3.5 games back from Minnesota you can see that while good records would generally indicate success in fantasy points for a team, it is far from perfect.  There would be a bigger discrepancy if we did this for the entire AL or MLB rather than just the division!