Transgender refers to a change in gender identity in some way. Intersex refers to a congenital (at birth) condition. These identities of a different nature and the answer is probably no, but there's interesting knowledge to learn in the nuance. Primary importance to most people are the metaphysics of human sex.

Biological sex is socially constructed. It is constructed by the "illocutionary" act of sex assignment by a doctor. This is a shockingly common misunderstanding because most people don't study something called speech act theory. (Note that illocutionary is a more precise replacement for performative, since people take that word to mean "fake" which is decidedly not the case.)

https://plato.stanford.edu/entries/feminism-trans/#GenTro

It is a matter of argument amongst academic philosophers and feminists whether sex and gender are distinct concepts. It's further debated whether that concept is actively harmful to people conception of sex. https://plato.stanford.edu/entries/feminism-gender/#SexGenDis

No one has ruled out a "biological cause" cause for transgender people who do not have a diagnosed intersex condition. It sounds a tad absurd until you hear about twin studies concordance rates amongst transgender people.

https://www.tandfonline.com/doi/abs/10.1080/15532739.2013.750222

Arguing that transgender people become intersex would rely on presupposing the falsehood of mind/body duality and claiming that (cis/trans) gender identity is innate.

I'm not going to search for relevant text on mind/body duality but this starts to get into some deeper philosophy with names like Spinoza and this is not the right context for that.