actually it's very simple (Yes/No) one :a question for us?
What you're saying is that you want a 3.7V @ 800mAh to be converted to 9V at 1W. let's do some math to see if energy conversion is even possible using Watt's law:actually it's very simple (Yes/No) one :
Is it possible to use the *MC34063 for an efficient (≥68%) SMPS design
that powers the 1W 9V LED light from (used) 3.7V 800mAh Li-Po
--or--
this* controller can't do it
( i will push it* below the specified 3V VsMIN as far the chip* allows )
View attachment 213563
https://www.onsemi.com/pub/Collateral/MC34063A-D.PDF