Yes but your connection devices make a big difference. Also your isp does. See Connection problems? Check here first! to get a few tips & things to test & check & set up. You haven't told us much in the way of details. Do you use dial up, etc. Who is your isp?

Connection type? (eg: dialup, broadband, cable, etc.)
1. Modem & router brand name & model numbers?
2. Where are you trying to connect from (home, school, work, etc.)?
3. What version of Limewire (LW) & Java do you have? (Go to LW's menu Help>About LW...) Will show both LW & Java version.
4. Who is your isp provider (Internet Service Provider)?
5. Are you sharing the connection with other computers or p2p sharing programs? If yes, please give details of set up.
6. Is this a your 1st try at LW or is this a new problem with an experienced user.
7. Do this simple test for us. Using your browser go here: http://www3.limewire.com:6346/ The page should say 'Your test worked!'. What happens when you go there?