First: you are safe.
I'm assuming you have the standard plug that looks like this:

but if it is a wire that plugs into a laptop or desktop computer, the chances are good that it is a standard RJ45 outlet.
In that case, while the device on the other end could supply power to the port,
- it probably does not for most home devices / installations, and
- the power supplied even in that case is quite limited, and
- there is a sophisticated process to detect whether to supply power to the port, and people don't qualify. Also, in this case, there is no laser / radiation at all.
If you are using fibre, you are still safe. A fibre port does output laser light (see here), but it is a "Class 1" laser (see here), so you'll have to try kind of hard to get hurt by it. Plus, if it is fibre, there is absolutely no electrical hazard (fibre doesn't conduct electricity)
It is always reasonable to be interested in safety, and to seek out information to ensure your safety. Keep up the good work.
38Just to add folks - while there's flaws in the premise of the question, snarky misleading comments are not cool. – Journeyman Geek – 2018-03-20T10:39:38.597
13The stack exists to build a knowledge base. There should be questions from beginner to extra-advanced expert level. So long the requirements of the help center are met, the level of expertise of the poster is not an issue. – Mindwin – 2018-03-20T12:43:57.460
3What kind of Ethernet port? Is it an RJ45 socket (aka 8P8C, for twisted-pair), or is it a BNC socket (for coaxial cable)? (Not that it makes a difference - it's low-voltage, and RJ45 sockets are usually shuttered, too). – Toby Speight – 2018-03-20T13:02:44.993
5There'd actually fibre optic wall sockets too, but its unlikely to be found in a kitchen. If there's protective covers, leaving them on is a good idea to protect the connectors not the people ;p – Journeyman Geek – 2018-03-20T13:43:24.957
1It would be a good idea to update the question with the type of ethernet port, because if it does happen to be a coax port (not likely in 2018) the answer would be different – Thomas Carlisle – 2018-03-20T18:39:00.857
1Why would there be an Ethernet port in the kitchen, are you sure it's not the phone outlet? – n0rd – 2018-03-20T21:33:24.903
@n0rd in the time when 802.11a ruled the airwaves, and WAP "protected" us all, putting an Ethernet drop in the kitchen was quite reasonable. – RonJohn – 2018-03-21T00:43:53.377