The correct indirect form of the given sentence is:

She told me that the charlatan would be breaking into the safe.

The other options are incorrect because they do not follow these rules:

• She said to me that the charlatan will be breaking in the safe. - This sentence does not change the present tense to the past tense for the auxiliary verb "will."
• She said to me that the charlatan can be breaking into the safe. - This sentence changes the auxiliary verb "will" to "can," which is incorrect.
• She said to me that the charlatan is breaking into the safe. - This sentence does not change the present tense to the past tense for the auxiliary verb "is."