model specification for time serie data

#1
I am trying to build a regression on the impact of private universities on social inequalities in europe. I have a panel data for the 28 european countries from 2008 to 2018 for wealth, income and access to higher education inequalities independent variables are Gini index, p80/p20, %of 20-24 years old in tiertiary education.Can I use fixed effect model to compare social inequalities between countries with free (or almost free public universities fees ) with countries with high fees?