Can a slow combustion wood stove be installed in a kitchen without having a built-in fireplace already present?

Can a slow combustion stove be installed into a kitchen where no fireplace exists

I want to install a slow combustion wood stove can this be done without a fireplace in a kitchen

A lot would depend on what the local code permits. In a non code area, you can install a wood stove anywhere. You would need to have the necessary clearances and fire protection on all 4 sides of the heater, pipe the vent through a wall thimble designed for a vent pipe and then run a flue up the outside wall. SLow burning wood stoves are notorious for creosote build up so make sure you watch for that. Hearth.com and other sites can help you.