No. But you can say eg Today I played the best game of my life. It's rather idiomatic.
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AnonymousWould it also be correct to say: Today I have played the best game of my life. Just added 'have'?Yes, as a statement of life experience. I see nothing wrong with 'in my life', but as Clive says, the idiom uses 'of'.
AnonymousIs it OK to add have to Clive's sentence?I have explained above.
AnonymousDoes the word 'of' work?No. Idiomatic phrases do not take kindly to variations, especially odd ones.