Breakdown of dekiru
するsuru
to do
Usages of dekiru
できません。dekimasen.
I can't do it.
〜こと が できる〜koto ga dekiru
to be able to; to be possible to
日本語 が できます。nihongo ga dekimasu.
(I) can speak Japanese.
時間 を 止めること は できません。jikan o tomerukoto wa dekimasen.
(You) cannot stop time.
Using は in this sentence might be more suitable because it is more all-encompassing than が (it implies that no one can stop time), while が is more specific and might refer to something like being unable to stop time on a personal capacity.
できる だけ 早く 日本語 を 学びたい です。dekiru dake hayaku nihongo o manabitai desu.
(I) want to learn Japanese as quickly as possible.
注文 は できます か？chuumon wa dekimasu ka?
Can I order?
ガス が 切れた ので、 料理 が できない。gasu ga kireta node, ryouri ga dekinai.
The gas ran out, so I can't cook.
信頼 できるshinrai dekiru
trustworthy; able to be trusted
The structure [noun] + できる is a common way to express the ability or possibility related to the noun. This construction turns the noun into an adjective describing the noun that follows.
子供 で も、 できます。kodomo de mo, dekimasu.
Even a child can do it.
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