One belt should not affect the others. We have a difference in terminology, but I think we can make sense of this. What you call the "dynamo", we call the "generator", or "alternator". That is responsible for recharging the battery after you start the engine, and it supplies all the electrical power to run everything on the car. Without that generator running, you might be able to run the engine for as much as a half hour. All the electrical systems will be running on just the battery, and the battery will run down very quickly.
https://www.2carpros.com/diagrams/suzuki/esteem/2002
If you use a portable battery charger to fully charge your battery for about an hour or two, you should be able to drive to a repair shop, but remember, the further you drive, the weaker the battery will become. You won't be able to crank the engine again until the battery is recharged.
You can drive without the air conditioning working. Just roll the window down if it's hot where you are.
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Monday, May 1st, 2017 AT 3:22 PM