does the supervisor have that sort of discretion, ?? is there a concept of transferring universities, in a PhD program, do universities do so if the supervisor is willing to take me on with the merits of my thesis? and is advocating on my behalf? is each institution different? I am in European university, but would wish to go to a US or Canadian one.

if I find my self unhappy in mid of my PhD 2nd year and wanted to switch university and supervisor, slightly change my Thesis, will I need to start at year 1 of a new PhD or can I gain from the 2 years in a graduate program and complete my 3rd year with a new supervisor at a new university, with presenting a thesis that is satisfactory to my new supervisor?

what is key
the supervisor -
the amount years registered in a PhD program
or the University.

the thesis has no lab work or stat. in it, it is mostly based on a review of existing literature to draw new insight in the field of cognitive psychology.

any help will be appreciated