yes, thousands of people switch out their tired SBC engines for the LS. It's probably the most common swap in the country.
youd need to gather parts, or get a swap in a box from summit and the correct spacer to adapt the ls flywheel to your trans. They might even make one that doesn't need the adapter.
if you runa standalone you can make the motor run very easily.
Some of your gauges might be an issue, but, you probably already have that figured out with your sbc swap.