不是，应该是“be free of加名词。”
free这个字作形容词可以表示“自由的，免费的，无……的”的意思，它可以作定语，
表语使用，如果后面接宾语，用的介系词不是with，而是of或from。如：
一、free可以表示自由的或空闲的，后面不加介系词。
The government will be free to pursue its economic policies.
政府将可不受限制地实行其经济政策。
The elections were free and fair.
选举是自由公正的。
Economists argued that freer markets would quickly revive the region's economy.
经济学家认为更加自由的市场将使这个地区的经济迅速复苏。
He fears that until state subsidies are removed, Russia will never have a truly free press.
他担心在取消国家补助之前，俄罗斯将根本不会有真正自由的媒体。
Dogs were allowed to roam free and 48 sheep were killed.
没有对狗加以约束而让它们四处乱跑，结果有48只羊被咬死。
二、free表示“免费的”，后面也不加介系词。
The seminars are free, with lunch provided.
研讨会不收
会务费，而且还提供午餐。
a free brochure with details of gift vouchers.
内有礼券详情的免费宣传册
三、free表示“无……的”，后面加介系词of或者from。
a future far more free of fear
远远摆脱恐惧的未来
She retains her slim figure and is free of wrinkles.
她保持着苗条的身材，脸上也没有皱纹。
The filtration system provides the crew with clean air free from fumes.
过滤系统使得全体人员能够呼吸到没有烟雾的清新空气。