I guess what @skyhook wants is that when one clicks with mouse on a cell to define a reference in a formula, the reference would insert, say, absolute. No, there’s no way to do that.
An address consists of three parts: sheet name, column, row. All three may be relative and absolute. That gives you these possibilities (S is sheet name, C is column, R is row):
S.CR
S.C$R
S.$CR
S.$C$R
$S.CR
$S.C$R
$S.$CR
$S.$C$R
First is fully relative; last is fully absolute, 6 other are part-relative part-absolute. Any one may be used. Spreadsheets using fully absolute references predominantly are exceptionally rare; if you feel that you need to use absolute addresses by default, it must mean that you actually should re-think what and how you are doing (possibly study when and how to use relative and absolute addressing).