No, because the dividend was only declared on 1 February. You can't declare a dividend if you don't have enough distributable reserves, which until your client paid you, it sounds like you didn't. You can't just date a dividend voucher as you choose (what stops someone from back-dating all their dividends or calling all their dividends "JANUARY DIVIDEND" to boost the income they are showing to UKBA??).
This is similar to the concept of employed earnings (or any other earnings actually) where you can only claim for what you were actually paid.
It's a difficult situation!!! Technically the answer is no, you cannot claim.
As you seem to have no other option, the best advice (and not saying this is good advice!!), is to try your luck with including the dividend.
Unless anyone else has any better solutions???
Keep us up to date with what happened if you go for the appointment. Mine is also on Wednesday