Let me try to answer this again in slightly more detail because I think dlorde's way of reforming it as a single celled organism (how it would actually have originally evolved in the first place) is better than my clumsy attempt (and his example is better than the one I offer below because he adds more details but I want to focus on just a few aspects).
I think it does make sense to speak of what a touch means even with purely instinctual responses. It does not make sense to speak of the organism understanding the meaning, though. Clearly I am not referring to linguistic meaning here.
Let's say we have a single cell organism with three receptors -- one that senses simple sugars, which it uses for food; one that senses the presence of sulfur, which will kill it in high concentrations; and one that senses the presence of other organisms of its kind in order to facilitate DNA transfer (say, each organism excretes an identifying peptide). Each of these receptor proteins links to the cytoskeleton in order to produce movement either toward or away from a stimulus. The behavior of such an organism would change depending on its chemical environment. It only responds to three things with either approach or avoidance, but each of those signals has a meaning for this organism -- it is a particular type of signal that alters its behavior in order to enhance its survival.
This organism exists in an environment in which all sorts of environmental issues arise. It can run into streams of arsenic, but it has no receptors and arsenic does nothing to its internal function, so arsenic is not meaningful to this organism. It can be jostled by a swimming fish -- something that clearly changes the organism (the fish swimming by constituting information) -- but being jostled by a fish ends up having no positive or negative impact on this organism's survival. So, while the swimming fish is information (poor information, it turns out because many other things could jostle the cell), it is not meaningful information. We could imagine numerous other examples, but the point is that some data is meaningful to such an organism and some is not, where meaning arises in enhanced survival (the reason for the behaviors in the first place).
Of course we speak of many other types of meaning, but on what grounds does this not qualify as meaningful information for such an organism?
ETA:
Or, if it helps, replace meaning or meaningful with a synonym -- significant.