No, according to the majority. That is because the texts preventing a woman from imamah over men:
- are general, not specific to strangers
- do not provide a criterion (such as lust or any evil thoughts) on which they are conditional
- do not make an exception for a mahram
Whereas texts on imamah of women (such as those narrated from or regarding Aisha, Umm Salama and Umm Waraqah) specify that they only lead other women. [see مصنف ابن أبي شيبة]
A few jurists have considered it permitted under specific conditions, for example when there is no other male who knows recitation. This view is based on the second of the variants of the hadith of Umm Waraqah:
أن رسول الله صلى الله عليه وسلم أذن لها أن يؤذن لها ويقام وتؤم نساءها
The Messenger of Allah ﷺ gave her permission that adhan be called, iqamah be said and that she lead her women in prayer.
وكان رسول الله صلى الله عليه وسلم ... وأمرها أن تؤم أهل دارها
The Messenger of Allah ﷺ ... commanded her to lead the inmates of her house in prayer.
For Reference:
فلا يجوز للمرأة أن تؤم الرجل عموما -ولو زوجها- عند عامة أهل العلم، وذهب بعض أهل العلم إلى صحة ذلك في النافلة، أو قيام رمضان بقيود
— https://www.islamweb.net/ar/fatwa/295672/
لا يجوز للمرأة أن تؤم الرجل سواء أكان زوجها أم ابنها أم أباها
It is not allowed for a woman to lead men in prayer, regardless if he is her husband, son or brother.
— Ibn al-Uthaymeen, translation of فتاوى المرأة