I drank too much last night and I can't talk this morning.
I had too much to drink last night and I lost my voice.
1) I drank too much last night and I can't talk this morning.
「昨晩飲みすぎて今朝は話すことができない。」
I can't talk は「声が出なくて話せない」という場合にも使えます。
2) I had too much to drink last night and I lost my voice.
「昨晩飲みすぎて声が出ない。」
lost my voice 「声を失う」=「声が出ない」という言い方です。
ご参考になれば幸いです!