"Reconsider" means to think about your decision again, and possibly change it. In the example sentence above, "reconsider" is used as an intransitive verb. But it's usually followed by a noun:

Please reconsider my offer.

In the example above, both the speaker and the listener understand what is being reconsidered, so it's left out of the sentence:

Is there any way I can convince you to reconsider (cancelling your account)?