Yes:
* During the strike, show solidarity by not crossing picket lines. Don't use the service, and don't patron the business for the duration of the strike. This is because during the strike, the workers that are filling in for the strikers are scabs and crossing the picket line.
* Spread the news, their demands, and encourage solidarity with these workers.
Strength is in numbers and solidarity. When that breaks down, the movement breaks down. It's why many States and companies do everything in their power to prevent the wage-earners from organizing effectively.
I think a more effective solution would be to keep buying like you normally do but if/when your service is worse due to being short staffed send a message to their support.
Whoever is fulfilling your order during the strike is a scab, and you're helping pay their wage. It is destructive to the strike.
It's about solidarity with the working people and helping with their demands.
The point is to not give money to businesses who workers are striking against.
> I think a more effective solution would be to keep buying like you normally do...
Doing this destroys the strike.
Wait, but I'm not supposed to actually get the order in this hypothetical. I place and order, the workers don't actually fill it, I complain and get my money back, cost Amazon money, and tell their customer service that I'm upset that the strike is inconveniencing me and they should treat their workers better.
The number of non-Amazon workers that are aware of this strike will never reach critical mass so if there's enough non-strikers to still do business as usual the strike is already over, right?