Can

・possible
・allowed
・has the ability to do

The word 'dream' can be a noun or a verb.
→「〜に違いない」じゃなくて「possible」の方かな？

Could

・general ability
・But to say that somebody succeeded in doing something in a specific situation, we normally use was/were able to or managed to.
　The fire spread quickly, but everybody was able to escape.
　I didn't know where Max was, but I managed to find him in the end.

Could do

・could is not always past. We also use could for possible actions now or in the future, especially to make suggestions.
・We also use could for actions that are not realistic.
　I'm so tired, I could sleep for a week.

meaning

・get away： escape
・put out： extinguish something that is burning
・pull out：引き抜く・引き出す