looking at the FSM FSM - Toyota 1HD-FT Engine Repair Manual - Publication Number RM437E (pdf) - https://forum.ih8mud.com/resources/toyota-1hd-ft-engine-repair-manual-publication-number-rm437e-pdf.108/
page EG-152 it only looks like the top of the pump needs to come off...
not sure why your...
any chance you got air in the fuel lines?
have you tried to prime the pump before starting?
if you suspect fuel cut solenoid are you getting power to the solenoid? I believe the fuel cut solenoid is connected to the glow circuit.