Sure, as soon as they institute one for voting.
I think this would hurt the Repubs a whole lot more than the Dems.
Without too much else to go on, IMO Biden's mentioning of using the executive order is more of posturing, of pushing and of appearance.
The mere mention of using the EO does quite a few things in the administration's favor. For one, it gives the administration some leg to stand on and a stronger leg to threaten some kick-ass if it senses inaction on this issue. It also gives the administration some idea of public sentiment (notice the dwell time it's been hanging in the air), from which to better position itself for the fight. It also shows to the public that the administration is serious about this and is daring to take things to a higher level, giving Obama some added sheen.
This posturing also keeps the subject up front and in clear view of the voting public so as to not fade off into never-never land like the NRA has always depended on in the past. This thread is a perfect example of this. The more this issue is hyped by those who feel threatened by it, the more it stays up front in full public view and discourse.
This threat also puts the Repubs on the defensive, making them take what possibly might be unpopular positions by forcing them to make clear what their positon is in this matter.
The administration knows this is the best time to take action on the matter of preventing future massacres via measures including reviving bans, and the Repubs know it's best to delay as much as possible. Therein lies the rub.