Guy's Behavior

Should I check up on him even though he asked for space?

I’ve been talking to this guy for about a month. Last week he was acting very distant barely communicating with me. At times I know he’s work schedule Has him tired but he kinda of makes an effort to contact me. Last Thursday, I texted him and asked him was he ok because I haven’t heard from him in like two days. He tells me that he’s been depressed those last two days and haven’t really been talking to anybody. He also apologized for not talking to me. I asked him if he wanted to talk about it but instead he said he will talk to me about it another time and that he needs space. It’s been almost a week know and I haven’t heard anything from him. He’s not very active on social media but comments under his friends stuff sometimes. Should I check up on him to see if he’s ok? Or is there no hope for me?
Should I check up on him even though he asked for space?
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