Predicting sequences newbie question
The short answer is yes.

What you are looking at would be developing a model that would regress an input of 6 integers to a single integer between 0 and 100.  $f(x) : \mathbb{Z}^6 \rightarrow \mathbb{Z}^1$

This could also be done as as 100 class classification problem.

The regression approach would be better in my opinion.  

One big question that you need to know to better determine if machine learning is the correct approach:  are the sequences (e.g., 0 3 3 5 3 2) the only sequences that = the given ranks (e.g.,1).   If so you only need to match sequences, no need for M L.

If no, and you chose to develop an ML approach, an issue you have is that you only have 1 observation for each integer.  

Depending on the variability of the input integers and their output rank {1 - 100} you would want multiple observations corresponding to each integer.

One last thing, I would start with one linear and one non-linear algorithm to see which method fits this data best.