Wobble/Wiggle effect in Adobe Premiere Pro CC
This might work:

You could build a project in after effects (or get someone else who has AE to build it for you?)

Get them to set a wiggle using Expressions.
Convert the expression to keyframes using the Animation menu --> Keyfraem Assistant --> convert to expression to keyframes.

Save the layer as an Essential Graphics template.

Open the Essential Graphics template in Premiere.

The item will have the positional wiggle, but you won't be able to modify the wiggle, or parent anything else to it (the positional variable in Premiere won't be wiggling).

I'm not sure whether this will work if you do not have AE installed - someone would have to try it and see).