Yes, sure, you can select the product systems and processes etc. you did and export these as JSON-LD. This can be nicely imported by others. The product system contains all the processes included, and their flows, units, etc..
Be aware to not breach database license conditions, if you have ecoinvent or other licensed database processes in your product system, they will also be exported, so best is if the recipient of your data has the database license as well.
In openLCA version 2, this will be more structured, with libraries.