That's right. Radio frequency observations, which have allowed us see into the past to about 380,000 yrs after the Big Bang, indicate that space has always been expanding; and that's backed up by very accurate measurements of the CMBR that fit the predicted value (in every direction). It would be astounding if it had stopped, for some inconceivable reason, at about the moment we arrived on the scene.

"Time is what prevents everything from happening at once" - John Wheeler