Sito85 Yes it would. Your battery would have to have enough spare room with an adequate charge current capacity to absorb all that the panels were producing which would then keep the voltage down.
My problem happened when the batteries reached full charge and the sun was still shining. There was nowhere else for the energy to go so it was sent to the grid.
If the grid power limit within the inverter is reduced then it won't raise the voltage by so much but then you won't receive all that you can for exporting the excess energy (the panels would be throttled back).
When the systems are approved for connection to the grid the authority permission is called a G98 or G99 document. The difference is that G98 can be connected without prior approval from the DNO (electricity board) but must be limited to 3.68KW. If you get a G99 before your installation the limit is specified and this can be above 3.68KW (mine is 6KW for example). When producing the G99 the DNO are supposed to work out how much energy they can accept and part of this should include how much the voltage might increase by when you are exporting your excess energy. The limit is programmed into your inverter which should then ensure it is not exceeded. However I cannot see how the DNO can predict what will happen with the votage when you do this and it seems many systems end up trying to put out the power limit by exceeding the voltage limit.