Can I say Birchas Hatorah if I am in unsure if I said it already?

One may not say Brochos if they are unsure if they already said them. Regarding Birchas Hatorah, one is Yotze Birchas Hatorah by reciting Ahavas Olam before Shema and then learning something immediately after Davening.

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.ראה אדה”ז סי’ מ”ו סעי’ א, סימן מ”ז סעי’ ו’, סי’ ס”ז סעי’ א’, סי’ קס”ז סי”ב