No.
Quarks with color charge (and composite particles made by quarks like the proton and the neutron) feel the strong force. Electrons are not quarks. The strong force is mediated by gluons. Electrons don't emit/absorb gluons....
Of course quarks have also electromagnetic charge besides color charge and interact with electrons via electromagnetic interactions mediated by photons, so electrons are influenced by strong interaction in this sense. But then everything is influenced by everything else...