BP/Citation, that's just not possible, if you follow SOP's for the ickle bus.
Once either inner wing tank gets below 750??kg, a procedure pops up, getting you to open the cross feed. At that point, both tanks feed both engines...
Ps, edit to add, one of ours did this. A simple look at fuel flow gave the game away and a subsequent chat with one of our power plant experts showed me it was all within tolerance (one older eng, one newer one)