Can you take someone to small claims over $3000 after breach of a verbal agreement with little evidence

It depends on the type of verbal agreement.  Most agreements do not have to be in writing to be enforceable, but some (such as contracts for the sale of real property, for the sale of goods over $500, contracts which can't be performed within a year, etc.) are required to be in writing (although there are some circumstances under which this requirement might not apply).  If your contract is not one which is required to be in writing, your evidence would be your testimony.  If the Court believes you, you have a good chance of winning.