No. double_tno less than double; that is, it can be the same as double. Footnote 190 in the C99 standard makes the goal clear:
float_t double_t , , float double, .
, FLT_EVAL_METHOD.
C99, long double. , , double ( , float).
, " ", , ( ) , , . , . , ?
: , (a) long double , (b) , , , , .