Individual fixed effects

Dear all,

Is it possible to do an individual fixed effects analysis with cross sectional data? If it is, can someone pls explain how to do this.

Secondly, if i have data for my independent variable collected at only 2 time points (year 1 and year 2) and i have data on my dependent variable collected at another 2 points (year 5 and year 6). Dependent and independent variable each have information at 2 points but in different years as i already stated. Will i be able to use this type of data as panel?

Many thanks.