Can I link multiple accounts to the same software token?

as the title says , I wanna have another account to play with as an alt and what not (I wanna be able to multi-box thats why I don't want my alt character to be in the same account as my main) but I'm having trouble with the Software Token since as far as I know I can't have more than one account linked to one device.

getting a Security Token is NOT an option for me ,sadly.

is there a way to be able to ? or that's impossible?

one security token on two different accounts? no. that would actually defeat the purpose of the security token in the first place. as far as i know you can not do this.