If someone does not get much of a reaction (minor fever, body pains etc) after covid-19 vaccine does this mean this person will not build as good of immunity as oppose to someone else who got such temporary side effects after receiving vaccine?

No. The vaccines help the body develop antibodies without the invasive action of entering through the lung tissue & destroying tissue in the process. Some people will have a systemic response like soreness/achy/feverish and some will have no symptoms beyond minor soreness at the site it was given. The effectiveness studies included those in both groups.

Glad to say, that you don't have to have side effects from the C OVID 19 vaccine for it to be effective.