Yes. In fact, in the Commonwealth of Pennsylvania individuals are almost always charged with multiple counts of DUI. There are multiple ways a DUI can be charged. The Commonwealth will charge a Defendant with everything they can at the beginning of the case rather than try to add it later. Even if someone is not charged with multiple DUIs initially, these extra DUI charges will almost certainly be added by the District Attorney office later in the process.
For example – if you are charged with an alcohol based offense, it is not uncommon to be charged with all the DUIs that relate to alcohol. That would mean all three tiers as well as an incapable of safe driving DUI charge, for a total of four charges. There could be even more possible DUI charges if there are controlled substances involved, if you are under 21, or if you were operating a commercial or school vehicle.
However, even if someone is charged and convicted with multiple offenses, these offenses combine for the purpose of sentencing. In other words, you can only be sentenced for one count of DUI for an incident regardless of the number of charges. The Commonwealth will always ask the Court to impose a sentence for the DUI offense that incurs the most severe punishment.