As Jay pointed out, I didn't realize you had an '84. At the bottom of the Pocket Programmer's page is a list of all the chips it can handle without an adapter, the '86-'87 GN/TR use the 2732 or 2732A chips and the '90-'92 TPI use the 27C256 chips, but the same chips can also be used for the pre-90 TPIs if the file size is doubled first because they were 16k chips and the 90-92s are 32k chips, easy to do, just copy the file into another file twice, appending it to the end, then the pre-90 ECM will use the first 16k bytes.
As far as the LS1, it uses a different type of chip, it can be programmed "on the fly" just by plugging in a special programmer directly into the ALDL, the chip does not have to even be removed, the Pocket Programmer and other devices for our cars the chip has to be removed and erased first, unless you build a special adapter for it and use flash electronic erasable chips.