Oh, don't be sad. A lot of us have to deal with printed statements and deposits not syncing up.
You've got two options here if you stick with your current biometrics. Send what you have and hope that they may request the missing statement. (Not what I would suggest.)
Or wait until you get the missing bank statement/transaction print outs from him and send it then.
People have sent their documents in after the 5 day cut off and had their visas approved. It's just best to follow all the rules.
It really sucks that HSBC is being a total PITA, but don't give up. Have him request printed statements for the rest of the time you need to cover the last pay slip deposit. This way you've requested them.
Then, make him go in branch and talk to someone. Has he actually tried or is he stating what it says they will or won't do? If he makes his case he might convince someone to do it. Especially if he's nice about, ladies love the whole long distance relationship/romance of it.
Then get those overnighted to you. Do not use parcel force. Use UPS, DHL or FedEx.
We used parcel force 3 day international and it took 14 days to get to me. It spent over a week in L.A. and I was in colorado!
And the 3rd is rescheduling biometrics, as Ksand says.