Does software exist for transforming data from one DB schema to another?

I need to transform some data between two different database schemas. For example, I have one table in old schema like this:

and I need to transform it to new schema like this:

So I have few questions to ask:

1. Does there exist software that can migrate data between these two schemas (Without or with little usage of SQL)?
2. If it exists, can this software migrate even between two platforms (i.e. MS SQL Server to Oracle)?

Thanks!