You most certainly can! Many of the TrustedHousesitters members enjoy house and pet sitting as a couple. You can experience some fantastic sits all around the world with a travel buddy. And the great news is that you only need one membership! You simply share a sitter membership and select the option to sit with a partner, friend or family member when editing your profile.
If one of you already has a membership, you can just add the other person to the existing profile by editing your details. If not, one of you will need to create a membership for you to share — whoever sets this up will be the account holder and primary point of contact.