Optical Isomers

When drawing 3D optical isomers, does it matter which order the groups are put in around the chiral carbon atom? E.g. for an amino acid does the R group/H atom/COOH/NH2 have to be in a particular position or can they be in any position in the tetrahedral structure, as long as you draw 2 mirror images?

Original post by mp_x

When drawing 3D optical isomers, does it matter which order the groups are put in around the chiral carbon atom? E.g. for an amino acid does the R group/H atom/COOH/NH2 have to be in a particular position or can they be in any position in the tetrahedral structure, as long as you draw 2 mirror images?