Barry
Chances are good you won't have 2 flat tires at the same time, however, if your battery is strong it should do the job - and start your bike.
My rear
motorcycle tire went down last year, 5 miles away from home. I was on level ground and didn't have enough strength to get it on to center stand. I tried several times to pump it up enough to raise the bike high enough but still failed getting it on that damn stand. I ended up rolling the bike forward enough to expose the hole. Sticky string was sufficient to plug it and hold air. Durring that half hour on the side of the freeway I must have used that pump enough times to inflate 3 tires.
The bike fired right up, and I was out of there !
The slime pump may temporarily drop the voltage down to 12.2 volts, but the battery has enough reserves to recover by the time you get everything packed back up and are ready to go.
Hopefully you will never need that pump.
Brodie