No....cat introductions take time....if it goes well, a week or two. Sometimes months, especially with adults...kitten intros are easier. They must be separated to start. Search this forum or Google "cat introductions" and there is plenty of advice on how to progress from there. Swapping scents, treating on opposite sides of a door, short periods of exposure, using gates so they can see each other but not etc. Cat intros must be done on the cat's schedule, not the humans.
Recommended number of litter boxes is "number of cats plus one" so for 3 cats you should have 4. Sometimes that can be weaned down over time if they get along really well.
Basically, taking in cats for a short period should always be done with the idea of keeping them separated and not introducing them. It's not worth the stress it creates.
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Holly, Misty & their friend, Jake, the dog.
Onyx, Callie May, Maggie & Kobi forever in my heart.
Yes, I know I need a new signature pic...someday...