Not really. Emotional affairs are a situation where one person
out of a romantic couple seeks emotional support from a person who
is not their spouse/boyfriend/girlfriend. For it to count as an
emotional affair, the person supplying the emotional support would
have to be someone who would be eligible as a companion had the
person seeking emotional support not been romantically involved
already.
Sex does not really supply emotional support, so it does not fit
into a specifically emotional affair.