Yes...
Just give it to the person. Then what they have to do is:
1) Go on the travel bugs page on Geocaching.com
2) They need to click "Add a log entry", right hand side, top box.
3) When asked to "- Select type of log -" they need to click "Grabbed from current owner" - in this case, they will see ""Grabbed from current owner - shawnandsam"
4) Tell them to click "submit log entry" and then the website knows they have the TB, not you.
Fairly simple...
PS - This was my 1000th Post! Bingo, I did it - I have now reached "CacheWalker" rank - yipee!