Living in the past

If we once again apply the theory of us always seeing things in the past, we would realize that even the things we hear are from the past, nothing is heard at that particular point in time when the sound is emitted from the source as even sound waves take time to propagate through air, liquids and solids; again we need to keep in mind that even a fraction of a second is to be accounted for. This theory sounds much more probable because sound travels slower when compared to light but then again I may be subject to criticism as one might say that the sound was emitted in the past but heard in the present but our brain still takes time to process and makes sense of the sound we just heard so the theory still holds. Now that we have established this thought, apply it to all of our senses, the way we know and feel any physical object or being in this existent world. Can we conclude that we are always living in the past?