2 users both have access to the same target org with different user accounts. User A creates a package and asks User B to deploy the package on their behalf. Unless User B has been delegated access to the same org they already have access to by User A's account then User B will be unable deploy the change as they receive the error

"To deploy you need deployment level permissions from the owner of the target"

Workaround to this security constraint was to download a copy of the package and deploy using Workbench.