No unfortunately you are only able to create one save game. I have a feeling that the (cloud) save I reverted to was slightly before I lost the ability to pickup building pieces. Toggle of admin controls did not fix it, only reverting to a previous save.
I did notice @Ignasi mention that they were looking into some issues with the pickup function;
I think that was based on damaged pieces. If someone from @Community could confirm if this issue is also reported that would be great.
There are some other topics that are similar to this (if you haven’t seen them):