No - not many games allow you to specify the save location. 
  You could "fool" The Witcher [and other games] by creating a symbolic link between the Witcher save folder and your Dropbox folder though.  
 To do it you need a free utility from Microsoft called Junction [you can get it here: 
http://technet.microsoft.com/en-us/sysinternals/bb896768.aspx]  
 To set up the link you would do the following:  
 1) Download the junction utility and extract it somewhere you will remember [or, to make it available in your system path, put it in Windows\System32 folder] 
 2) Create a folder for your Witcher saves in your Dropbox folder [eg: My Documents\Dropbox\Witcher Saves] 
 3) Move the save files from your Witcher save folder [default My Documents\The Witcher\saves] 
 4) Delete the original Witcher save folder [see step 2 for location] 
 (NOTE: Deleting the folder is necessary because the junction will create a symbolic link using the same name, it is treated as a folder and therefore cannot be created if there is already a folder of the same name) 
 5) Open the command prompt [start, type 'cmd' in the search box, hit enter] 
 5 a) If you extracted junction to a non path location [eg: C:\util] then navigate to that folder: [ex: cd C:\util] 
 6) use the following command line to create your junction point [change folder locations to suit your system]: 
junction "C:\Users\MyUserName\Documents\The Witcher\saves" "C:\Users\MyUserName\Documents\Dropbox\Witcher Saves"   To remove a junction use 
junction -d C:\Path\to\junction