Is there any influence of time on Brahman?
No. By mentioning Brahma's entire life equal to less than a second, author actually wants to show infinite time.
Chapter 5th of Kurma Purana says
This Brahman is beginningless, endless, free from old age or decay and immortal. He is the Supreme Ruler because of his omnipresence, independence and his state of being the soul of all.
Here is the Sanskrit shlokas and Hindi translation:
It is also clear from 3.11.39 verse of Śrīmad-Bhāgavatam (Bhāgavata Purāṇa):
कालोऽयं परमाण्वादिर्द्विपरार्धान्त ईश्वरः
नैवेशितुं प्रभुर्भूम्न ईश्वरो धाममानिनाम् ॥ ३.११.३९ ॥
Eternal time is certainly the controller of different dimensions, from that of the atom up to the superdivisions of the duration of Brahmā’s life; but, nevertheless, it (time) is controlled by the Supreme. Time can control only those who are body conscious, even up to the Satyaloka or the other higher planets of the universe.
Also the source from where you have quoted the verse in your question has the following commentary:
There is complete agreement between Śrīmad-Bhāgavatam and the Brahma-saṁhitā. Eternal time is never lost along with the life of Brahmā. It continues, but it (time) has no ability to control the Supreme Personality of Godhead because the Lord is the controller of time.