Yeah, probably. Especially from the WOIAF, their total and combined forces were quite substantial compared to the forces that House Lannister could throw together – especially if you remove Tywin’s contributions from the picture.
If I recall correctly from the extended Westerlands section, Tywin could pull together 3,500 men to fight the Reynes and Tarbecks, but the full might of House Reyne and their allies was more than 8,000 men.
So potentially, I could see a scenario where the Reynes are able to crush the Lannisters in the field and force Tytos to abdicate. The more difficult question is what they would have done after – governing after such a coup is a lot more difficult than most schemers realize.
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