Can I say this?

Hola Luke T.

Good instinct, you’re right to question it.

In most situations, “le di esto ayer” is the natural and correct choice.

• Le di esto ayer → simple past (pretérito).
  You’re talking about a finished action that happened at a specific time in the past (ayer).

• Le he dado esto ayer → sounds odd to native speakers because the present perfect (he dado) is not normally used with finished time expressions like ayer, la semana pasada, en 2020, etc.

In standard Spanish:

• Present perfect → recent or relevant past without a finished time reference:

  Le he dado esto hoy / esta mañana.

• Preterite → completed action with a finished time reference:

  Le di esto ayer.

Best,

Silvia