The short answer is YES although the specific criteria for Subclass 189 or 190 only insist that the applicant have evidence of a favourable skills assessment by the relevant assessing authority and at least IELTS 6 in all four components of the test at the time of invitation not at the time of submission of EOI.
From a practical point of view, as the latest results suggest, 60 points on EOI may warrant an invitation from each round without having to wait in the queue. Hence, once an EOI has been submitted in the system provided that it is over 60 points, an invitation will be issued in a matter of a few weeks. The skills assessment takes quite some time to be completed by the relevant authority (more than 10 weeks in some cases). So, unless a favourable assessment has been done by the authority prior to the submission of EOI, the person will not likely have the evidence of the skills assessment available at the time of invitation.