Earlier quoted context omitted.
Not in the same way as in the US, and I don't think campaign contributions are a thing, at least not at the same level as in the US. But there are many, many lobbyists active in the EU, and some of them have a surprising amount of influence over politicians. There has even been a case where two different parties, independently from each other, introduced the exact same bill, which had been written by a lobbyist.
What leverage do they use for lobbying, if campaign contributions are off the tables?
The leverage they use is their relationships with other politicians to engage in vote trading.