Can a rejected manuscript be submitted to another Elsevier journal? Can one submit a rejected manuscript from one Elsevier journal to another relevant/similar Elsevier journal after apply the given feedback from the reviewers? 
Is there any minimum wait time? 
Is it recommended to do so?
Would the other Elsevier journal know the status about the previous submission to the first journal? Will this have any impact on the decision of the second Elsevier journal?
In general, when a paper is rejected, you can resubmit it to another journal as soon as you feel you are ready.  There is no minimum waiting time, and it doesn't matter whether both journals have the same publisher or not.

As far as I know, publishers don't generally share information about submissions between journals.  (However, it could happen that the second journal would require you to tell them about any previous places the paper has been submitted.)

In theory some publishers might have special rules, but I've never heard of this.