- There were many objects changed around/ jumbled up on my desk.
- When Francisco got into my room and sat down at my desk he changed many things around/ jumbled many things up!
Do these two verbs mean the same? Can they be used in the same contexts?
You can move things around so their position is changed without making a mess.
If things are left in a jumble, he made a mess.
I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.
They are possible, yes.
I'd probably say it more like this:
When Francisco used my desk, he left everything in a mess. (I don't use "Jumble")
When Francisco used my desk, he moved everything around/he didn't leave things they way he found them,
I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.