Yes, it is quite possible, Harry. Slugs eat decaying vegetation - exactly what you put in the bin. By the time the waste is composted the food value for the slugs will have gone, and the slugs with it.

I think the composter bin is the source of the slugs in the rest of my garden?

I find many slugs in the compost bin means less in the actual garden. they do a lot of clearing up too.

youl probably find that the slugs would be there anyway just hidden somewear else . they need to stay damp to live and in there its easy to find them . id look at it as a plus .

Slugs lay their eggs and breed in our compost, as in most bins or heaps, they help process the heap. As others have pointed out, it keeps them out of garden mischief. If you catch them at that stage they are together and easier to dispose of in your chosen way.

great minds dorjac x : )