I am not completely certain what you are saying here. Phrases like "dynamic attributes are contextual" are not clear to me.1. Dynamic attributes are contextual. While, as you stated, probability waves (fields) of two particles might be overlapping, their dynamic attributes (in this case, location) do not exist until measured. Until measured, they are just waves of probability. And once measured, the result of that measurement (again, location in this case) is dependent on the similar attributes of nearby particles (ie. being contextual). Therefore, based on this contextual manifestation, while the potential for two individual particles having the same location according to their wave functions might be non-zero, the chance of them naturally occupying the same space when measured (or observed) is zero.
However, the remainder of what you say seems like a restatement of a basic property of continuous probablility distributions. The probability of a continuous random variable (CRV) to assume any specific value is 0. So you never speak of the probability of a CRV taking a specific value, but instead always speak of the probability of it taking a value within some range. It is only ranges of values that have meaning in a CRV. So again, for any range of values, however small, there is a non-zero probability of finding both particles there.
What does it mean that a particle is a point particle? Experimentally it means that the highest wavelengths we can generate scatter off of it in a specific fashion. Since that highest wavelength is finite we return to my above comments on ranges of values.2. Matter consists of electrons and quarks (and force carriers - bosons). And these are defined as having no spatial content (point particles - ZERO size). While these particles may have a mathematically calculated location in space-time when observed, there is nothing there to "touch" (using the common definition of that term), even if the location of two particles were identical. Now, there are consequences when two particles are fused (having the same location, yes - but not "touching"). But I do not believe that happening outside a star is a natural occurrence.
However, there is a more basic point that I was trying to make earlier that really has nothing to do with probabilities. Any fundamental fermion (point particle) is a quantized excitation of a fermionic field, and this field has some spatial extent. When the fermionic fields from two fermions are overlapping then I think it makes sense to say that they are "touching". They are certainly spatially "together" in some sense and interacting with each other, so to me that qualifies as "touching".