Joseph Shaw, Chairman of the Latin Mass Society, UK, has published a portion of a letter which suggests that this is the case. The letter was written to a bishop on behalf of a priest ordained after the promulgation of Traditiones Custodes, who wishes to offer the TLM.
The letter came from the Dicastery of Divine Worship and here is the extract:
…this Dicastery is of the opinion that this [permission] would not be an opportune decision. Therefore, we deny the request. The path established by the Holy Father in Traditionis custodes is quite clear and this has been underscored both in the “Letter to Bishops of the Whole World” which accompanied the Motu proprio and in the Responsa ad dubia of this Dicastery, which were personally approved by the Holy Father. In this latter document, with regard to this very point, it was highlighted that the liturgical reform of the Second Vatican Council “has enhanced every element of the Roman Rite and has fostered – as hoped for by the Council Fathers – the full, conscious and active participation of the entire people of God in the liturgy (cf. Sacrosanctum Concilium no. 14), the primary source of authentic Christian spirituality”. Most recently the Holy Father’s Apostolic Letter of 29 June, Desiderio Desideravi, on the liturgical formation of the people of God, expands on the above mentioned letter to the bishops and reaffirms Pope Francis’ desire that unity around the celebration of the liturgy be re-established in the whole Church of the Roman Rite (n. 61).
There is of course no difficulty for Fr  to celebrate Mass according to the editio typica tertia (2008) of the Missale Romanum.
Mr Shaw writes, “It is noteworthy that although the letter begins by saying that the documents supporting the request have been studied carefully, the reasons for refusing the request is entirely general, not specific to the situation of the diocese,” and asks, “Is this what pastoral care looks like?”