yes you can, you should use greenpoison to jailbreak it, it is really simple.
1. turn off your ipod touch
2.open greenpoison
3. plug itouch into the pc
4.start greenpoison and it should tell you to hold switch(2sec), hold switch and home(10 sec) and home button(15sec)<-----i forgot, it would tell yo
5. your ipod touch should now be ready and press start jailbreaking or whatever it says...
6.it should automatically finish after 10-15 mins and when it tells you it's done, justdownload cydia from the loader you get in ur ipod touch...thats it
p.s if you've done the first few steps wrong, it cant detect your ipod, you'll have to do it again
Here is the link to greenpoison for ipod touch 2g mc/non mc 4.1
http://www.greenpois0n.com/ (can be used on mac, windows or linux)
Hope you get your ipod jailbroken faster!!