No. Robert Baratheon had the North, the Riverlands, the Vale, the Iron Islands, and the Stormlands behind him. The Lannisters had just alienated Dorne and the Reach, both Targaryen loyalists, by murdering the Targaryens.
The Lannisters would have been alone against the rest of Westeros. And it doesn’t matter how much money you have if no one’s willing to do business with you.