、・・・。
I was wondering if I might have some time tomorrow...
Literal
Tomorrow, time [subject-が] exist [wondering-かな] [quotative-って] was-thinking [explanatory-んだ] [but-けど]...
A speaker thinking out loud, probably leading into a request. かな ('I wonder') embedded inside って ('that/like') + 思ってた ('was thinking') + んだけど (explanatory-with-but) — a pile of softening markers indicating extreme hesitancy. The trailing ellipsis (・・・) signals the speaker hasn't actually committed to the ask yet. A quintessential 'beat around the bush' opener.