[oliyoung]

No.

While both acknowledge that gender is fluid personal interpretation of identity, to drag (female impersonation, but there are women who drag as men), gender identity is a joke to be made fun of and celebrate, but being transgender takes gender identity seriously.

They can be expressed by the same people (see Peppermint who won 2015's RuPaul Drag Race, she is a transgendered woman who competes in drag competitions), but they can just as often be in conflict.

Mostly. In not all cases and for not all people, and I'm probably wrong.