Yes the combo can charge LiFePo4, provided you buy the
CTEK 250SE which is the Lithium model. It also has a solar input.
The combination of the
250SE and 120S can handle mixed chemistries (for Lithium you need to attach a special wire to the Lithium battery being charged - see top of page 6 of the manual, where it shows you must connect to a 12 volt source for Lithium).
The Manual for the CTEK 250SE for Australia is here.
Some useful info here on the 250SE and 120S. More videos on the
250SE here.
The CTEK 250SA is
NOT Lithium compatible and it is usually cheaper.
For Lithium SE is good, SA is bad. Yep only the last letter differentiates the two models!
Word of caution on Lithium
In Australia the INEOS rep stated, to me, Lithium batteries were not part of the approval process for the Grenadier (he was the ADR person in Australia). When pressed he seems concerned about a cheaper brand of Lithium battery used here in Australia (which I would not use). I would consider using an Invicta Lithium battery which is a proven high-end brand.
I was surprised with the conviction behind his view. Suggesting he may know more than he was prepared to say.