TFT 2.4" inch powerer by a transistor

Yes.
I think logic level P-ch MOSFET well works to you.
It can be used in such circuits.
image
The signal logic is inverted, so the TFT is powered when signal output LOW.
[R] is a pull-up to ensure that the TFT is not powered when the signal pin is Hi-Z.
It's about 10k ohm to 100k ohm is fine.

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