可以的。微信没有绑定银行卡是可以进行转账的，但是转账的额度会有所限制，只能是200元每天。收款的话单日限额为3000元。
超过限额后若想继续使用，需要添加一张银行卡，验证身份信息。
对于绑定银行卡的微信用户来说，转账付款每日单笔限额20000元，收款的话则无限额；
添加银行卡的方法如下：
1、首先打开微信APP客户端，并登录自己的微信账号。
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2、然后选择右下方的“我”，在列表中选择“支付”选项。
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3、在支付页面中，选择红色箭头所指处的“钱包”，点击进入。
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4、在钱包页面列表中，选择如下图红色箭头所指处的“银行卡”。
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5、接下来进入到银行卡页面中，选择红色箭头所指处的“添加银行卡”选项。
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6、接下来输入支付密码验证身份。
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7、然后进入到添加银行卡页面中，输入需要添加的银行卡卡号和持卡人姓名，接着根据提示操作即可。
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参考资料来源：/www.ce.cn/culture/gd/201406/24/t20140624_3029260.shtml"target="_blank"title="中国经济网--微信新增转账功能">中国经济网--微信新增转账功能