No you absolutely can not.
by can be replaced by "through" in this case, and most cases. An approach. By is the connector for the subject and the tool, method, way that the subject applies. I mean in this case you referred to.
With could almost mean the same thing(s) as the word "and", meaning do something together, in company with, however, with is a preposition, only; and "and" can be, only, used as a conjunction.
Which is to say, well, this is a little bit complex:
You can say: I'm with you. You cannot say: I'm and you.
You can say: You go with me. You cannot say: You go and me/I.
Can: With his help, I made it. Cannot: And his...
With as a preposition requires a specific object which has an "obvious" and "direct" and "actual" relation with "with", like every other prep does; whereas, "and" is kind of an outsider, who doesn't "really" develop a relation with the object nor subject, eg: I like blue and green. The "and" is neither gonna eat the blue, nor marry the green, nor ask the blue a question, it just looks like a useless poor guy functioning as a literal connector. Which is also saying, it can connect two complete sentences, kind of a limitless word: He loves blue, and I love green.
Actually what's on my mind is, little girl, you could've easily figured this out by looking them up from an E-C dictionary yourself.