This question is inspired by and closely related to that one, but is different.
Alice deperately wants to conceive and give birth to a child from Bob, but Bob is adamant. He is very careful to avoid becoming a father for a number of reasons, one of them not willing to pay child support. Alice and Bob are not a couple. They're both single, just see each other from time to time. They have agreed to only have protected sex, specifically Bob always uses condoms (although he wishes he did not have to). He accepts that no contraception is 100% reliable, but is fine to take the risk so long as it is reasonably mitigated and Alice is honest in her willingness to use contraception.
One day Alice tells Bob that he does not have to use condoms anymore: she's now got her own contraception (e.g. pills, implant in her arm, IUD, whatever). Bob is hesitant — not because he doubts Alice is saying true, but because he prefers being safe than sorry. But Alice convinces him that her contraception is in place and reliable, and they have consensual sex without a condom. In fact, the is no contraception at all because Alice has blatantly lied — in order to become pregnant from Bob. So she does, and Bob starts paying child support.
(Alternative facts: Alice picks up Bob's used condom from the rubbish bin as soon as he leaves, and impregnates herself with the sperm in it).
So, while paying child support diligently, Bob finds out that he was fooled. He obtains strong evidence of the Alice's deceit.
Can Bob possibly have a case against Alice directly (not against having to pay the child support)? Bob accepts that, as the child now exists, he has to pay their support anyway. However, does that preclude claims against the mother for causing the expenses Bob explicitly was aiming to avoid?
Can such a case possibly be quantified based on the child support he now has to pay?
Understandably, such a case against Alice would adversely affect the child (if Alice is the one to raise them). However, any payouts to Bob could be delayed until the child becomes adult, or remain stand-by in case Alice inherits large sums of money, wins a lottery etc.
(Any jurisdiction that you can answer about).