I suspect so. LiIon has a terminal voltage of 1.5, as does alkaline. So a simple series resistor should be OK unless the drain is so high that the terminal voltage of the alkaline is severely dropped.
Lithium Ion is 3.7v, lithium manganese dioxide (ie. e2 lithiums) is 1.7ish new, 1.5v nominal.
Thanks mike...so I can use lithium ions in my black diamond Icon that I'm guessing just uses a resistor?