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Generally, it's a one or the other on a line like that. IOW, running the EVSE and say the water heater at the same time would likely trip the breaker. Most WH are hardwired, so there may not be an easy way to ensure it will not try to turn on to heat the water.
You'd have to know the gauge of wire and the size of the breaker and match things up to be safe. Most WH are on a 25-30A circuit. Say it was 30A, using the 80% rule in the US, you could put a max of a 24A EVSE on the line. You could safely swap between the WH and the EVSE with a transfer switch, but charging overnight, you may not have a full heat tank in the morning of the WH if you used any in the evening.
Now, a dryer is usually wired with a plug, so swapping the EVSE in would work fine if the cord lengths would get the plug to your vehicle to begin charging. Same rules apply about max capacity, but a dryer may be on a larger circuit (but not necessarily).
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