There is no such thing as a USB to HDMI cable. USB and HDMI are completely different things, and you can't connect them with a simple cable.
You can connect an HDMI video source -- like a camera -- to a USB video sink -- like a PC -- using an HDMI capture "card". These things are actually little dongles that have an HDMI input on one side, where you would plug your camera in, and a USB (usually USB C) cable on the other to go to your computer. These are cheap (mine was £20) and can work well.
But it sounds like you are trying to use your camera's USB output as a video source, and then convert that to HDMI? I don't think this is possble, at least not easily.
- First, you need to determine whether your camera even outputs video over the USB port.
- Second, you need to determine how it does this. If it sends video over a regular USB data connection, I would expect this to be low-quality video only -- like for a webcam. The usual standard today is to use the Display Port dual mode that USB can have. This is completely different, and much better, but as far as I know, this only works over a USB C connection.
- Then you would need something to read the video off this USB connection and convert it to HDMI. Like I said I don't know of any easy way to do this. You could use a laptop, maybe, where you take the video in by USB, read it with OBS Studio, and then connect the laptop's HDMI output to a monitor.
If you're thinking that your laptop's HDMI port can work as an input, well it can't. All HDMI ports look the same, but each one is EITHER an input OR an output. The one on your laptop is an output. You can't push video into it.
On the whole I'm pretty unclear about what you're trying to achieve here. You said
"I'm asking if the USB to HDMI can still support to streaming even if it is connected to a capture card.... I'm just having trouble using the HDMI port and looking for other options for this."
USB to HDMI and then to a capture card would be wierd -- you would be converting USB to a video signal, and then converting that signal back to USB. I don't know what this would solve. My guess is that for best results, you need to connect the HDMI port to a capture card, and then plug that into your PC. I guess you're already tryting this, and having problems, and I don't know why -- it just worked for me. Make sure your camera's settings actually have the HDMI port enabled. You will need software on the PC (like OBS) to read the video.
BTW USB unfortunately is a terrible mess; you need to be careful with terminology. "Mini USB" is completely obsolete, and I'm sure none of your kit has it. What you have is either Micro USB, or USB C. In order for people to help you, you need to specify which.
