Not at all in the same way as CUs tend to go about it. Catholics tend to be more of a "Hey, this is happening, do you fancy coming along?" type.
Having said that, evangelisation is becoming a bigger thing. One of the current major things going on in the Church is the "New evangelisation". - The idea being that traditionally mission and 'bringing the word of God' to people has taken place overseas, but it's time that we start looking at what's going on in first world countries again. So many people have misconceptions, or even very little idea of what religion is about, and it's time to start sharing.
You get places like SPES (St Patrick's Evangelisation School), which is based in Soho, where the students are taught about the faith, with an emphasis on mission through helping - so they have a soup kitchen they help out at etc.
There are also events like Spirit in the City. This involves street evangelisation (although it seemed to be run in quite a different way to what I've experienced from speaking to evangelicals), Marian and Eucharisition processions through the streets of the West End, talks and on the final day, a festival in Leicester Square. I went last year, and it was really good fun. I was ill this year though, so I didn't go
WRT the street evangelisation, the main difference seemed to be the approach. Ours was about letting the people we spoke to bring the conversation round to God, whereas evangelicals seem to have a specific aim from the conversation which they don't like to veer away from. We let them lead the conversation, whereas when I've spoken to evangelicals, it's very much them leading the conversation.