休渔期 英语Can I translate“休渔期”into English as “ the period of fo

Yes,you can.But as far as I know,"fish moratorium"is more formal,and in oral English,"Fishing Ban" is also used often.
For example:
1.今年的休渔期仍从6月1日12时起,至8月1日12时止.
This year's fishing ban term starts from12:00 on June 1st and ends at 12:00 on August 1st.
2.六、七月间,内地渔业当局在南中国海实施为期两个月的休渔期,以存护渔业资源,约有1350艘本港渔船受到影响.
During June and July,the Mainland fisheries authority imposed a two-month fishing moratorium in the South China Sea to conserve fisheries resources.About 1 350 Hong Kong fishing vessels were affected.