| Finoan |
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This sounds like a question for the game's GM to adjudicate. Both of those feats seem to need GM involvement to begin with, and combining the two definitely would.
As I am reading it, Syncretism will let you have two Deities, but only one additional Domain from the second Deity.
Taking Splinter Faith at later than level 1 has a note that it should require Retraining, but the time and cost needed for Retraining is always up to the GM to decide on. Picking up Splinter Faith at level 6 would give you 4 more Domains, 3 of which need to come from your existing Deity's primary or secondary Domains and 1 that can be unrelated.
You should be able to pick your Domain from Syncretism as your 1 unrelated Domain choice for Splinter Faith. It is not specified if you can pick the Syncretism Domain as one of the 3 Domain choices that have to be part of your Deity's existing Domains - ask your GM about that.