Is it Islamically permissible to work at a place that sells alcohol, pork, and lottery tickets if that is the only job I can find?

Quran:
“O you who believe! Intoxicants (all kinds of alcoholic drinks), gambling, Al‑Ansaab (stone altars for sacrifices to idols etc), and Al‑Azlaam (arrows for seeking luck or decision) are an abomination of Shaytaan’s (Satan’s) handiwork. So avoid (strictly all) that (abomination) in order that you may be successful. Shaytaan (Satan) wants only to excite enmity and hatred between you with intoxicants (alcoholic drinks) and gambling and hinder you from the remembrance of Allah and from As‑Salaah (the prayer). So, will you not then abstain?” [al-Maa’idah 5:90-91] 

Say, “I do not find within that which was revealed to me [anything] forbidden to one who would eat it unless it be a dead animal or blood spilled out or the flesh of swine – for indeed, it is impure – or it be [that slaughtered in] disobedience, dedicated to other than Allah. But whoever is forced [by necessity], neither desiring [it] nor transgressing [its limit], then indeed, your Lord is Forgiving and Merciful.”] Al-An’am [(6:145)

Hadith:
The prophet (ﷺ) said: “When Allah forbids a thing, He (also) forbids its price.” [Hadith narrated by Abu Dawood

As a Muslim who is proud of Islam and strong in faith, you will not be happy to sell something so evil that has corrupted the world and filled it with oppression, evil, and corruption. Alcohol is the mother of all evils, gambling is consuming people’s wealth unlawfully, and pork has been definitively forbidden by Allah.

It is not permissible under any circumstances whatsoever for a Muslim to sell evil things to people, even to non-Muslims, because by doing that, he is participating in the spread of sin and cooperating in disobedience to Allah, and going against His commands. 

If you are already working in a place selling these products, start to look for an immediate alternative and leave this job as soon as possible. Consider finding a delivery job that does not require you to deal with these impermissible jobs directly. Working independently using a service like DoorDashing is permissible since it allows the driver to accept the order or denies it if it includes alcohol or pork.