都可以。suggest to do和suggest doing的区别：含义不同、用法不同、强调重点不同。suggest to do的含义为“建议这么做”，侧重于建议两个人一起做某事;suggest doing的含义为“建议做…”，侧重于建议接受者自己去做某事。
suggest to do意为建议这么做，建议两个人一起做某事。
例句：Can you suggest any means to do it?
你能不能给我想个什么办法做这件事?
Can you suggest a way ( to do it)?
你能提出一个办法吗?
I suggest a method to do on the web page changes, in order to improve the level of the key pages.
我建议在某个方法上对网页做些变化，以此来提高关键页面的等级。
suggest doing的含义及用法suggest doing意为建议做，建议接受者自己去做某事。
例句：I suggest doing it for five minutes at a time.
我建议每次锻炼5分钟。
You also use "couldn't" in a question to suggest doing something.
用在疑问句中也可用以建议做某事。
If there's something you want to do or somewhere you want to go, we suggest doing it solo.
如果有什么事你想做或什么地方你想去，我们建议单独行动。
I'd probably suggest doing a lot of different things to keep their interest.
我会做一些事情让她们保持对健身的兴趣。
I suggest doing this in the company of friends, family members, therapists, coaches, or all of the above.
我建议在朋友、家人、医疗师、教练或全部人一起的陪同下。
