Even assuming spherical cows ... not really.
Taking phenotype as most general 'observable trait'
there is far too much environmental interaction/influence
to count as an individual's trait.
note the now gone post this was in response to, asked
(and I am paraphrasing) ...
~~~ Is this not just a subset your phenotype ~~~
Hmm, the subtitle says it includes "airborne microbes". Microbes can change, though, can't they? There are procedures like fecal transplants just to kick start different microbe populations in a person. So it isn't all just an expression of their genes turning into physical traits, some of it is due to their history and what they were exposed to. Some antibiotic treatments, for example, could change your microbe population.