I put my thinking cap on and I know what your talking about. No they didn't kiss. Episode 48 "Return to where we first met". Kagome runs home when he promised to Kikyo he would protect her and that she belonged to him. At the end of the episode she comes back and is sitting on the well. Inuyasha is standing in the field walking towards thewell and sees her. She asks him if she could stay with him.
There is a frame when different pictures span from Kagome to Inuyasha they fade into each other LOOKING as if they kiss. *They in fact DO NOT* (you have to freeze the frame in order to see it). Afterwards she takes his hand and says to herself "Inuyasha deep down you must Know I want you to live I also want you to laugh alot and be Happy". I hope this answers your question.
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