No, not while he is present: it is agreed upon from Abū Hurayrah that the Prophet ﷺ said a woman must not fast a day other than Ramadan while her husband is present except with his permission. The reason is his right over her, so if he permits, or is travelling or absent, she fasts freely; and a husband is not praised for blocking her worship without need. This restriction applies only to voluntary fasts — Ramadan itself needs no one's permission, and neither does a make-up fast when little time remains before the next Ramadan, though scholars say permission should be sought for make-up fasts while there is still ample time, since they may be postponed.
Q&A · Fasting
Can a wife keep voluntary fasts without her husband's permission?
Evidence — the daleel
Sahih al-Bukhari and Sahih Muslim (agreed upon), hadith of Abu Hurayrah: 'A woman must not fast a day other than Ramadan while her husband is present, except with his permission'Quran 2:185
On deen2u
Informational, not a personal fatwa. Consult a qualified scholar for rulings on your situation.