Does having experience outside of your preferred career field do anything to you?

As others have said, you can definitely describe your experience in ways that show their value in your preferred/current field. We call these "transferable skills," and the key is to find a way to describe them in the terms of your desired job and field. You mention art in your comment. Some transferable skills from art to environmental science are visual presentation, project planning, and design thinking, not to mention the safety aspects of glass blowing (and maybe even painting, if you ever used potentially toxic materials). Look at the lingo of your new field and decide which of these are most relevant, using the terms from your new field.

You have choices on where/how you incorporate these into your resume. If you are using a summary at the top, you can mention the most relevant ones there, which is a signal for a reader to look for them in the body of the resume. (If your resume is searched digitally, the key words will show up in any case.) And then when you list your experience, focus on the parts of those jobs most relevant to what you are doing now. It's tempting to describe, for example, your museum experience in terms of what mattered most at the time, but prospective employers are much more interested in what you can do for them now. So use your precious resume space (LinkedIn too) to highlight the parts they care about. This takes some thinking usually, but it also preps you very well for networking and interviewing if you can easily and naturally say something like, "When I worked at the museum we were improving our sustainability practices, which led us to change how we....."

As this is not a U.S. specific question, I feel entitled to reply too.

I think, that having experience outside of your preferred career field will only help you with your personal skills, showing or prooving your character.

Working in a museum might (im)proove your accuracy,

teaching might (im)proove your patience and your will to foster team mates

and working in the arts might (im)proove your accuracy and patience.

You might want to complete this list of your virtues.

Well, create a list of what you have done so far,

then have someone else to derive the virutes/skills.

Someone else, as it is hard to see yourself.

Is there anyway to incorporate those skills in the environmental field?

I don't know the environmental field, but there are likey "places" where you need to be accurat, patient and willing to foster humans. E.g. educate them how to build a water well with little means.

It might help you to immagine you are billionaire already, who has not to take care about making a living. Then what would you do?

Can I place these as skills I have on my resume?

Yes you should, but change the format and make it easy for others.

If you write "I have been working in a museum." then you leave the work of the conclusion "that must be an accurate person" to the reader. Most likely the reader will not be interested at all.

If you write "I am an accurate person." then everyone (e.g. an employer) can either accept this claim or inquire, asking you why you claim to be accurat, patient and willing to foster humans. Then you can proove your character by giving some "solid" examples like "I have been working in a museum and I have been working in arts. Both require to be accurate" ;-)

Greetings from Germany.

P.S.

I'm willing to assist naming skills/virtues, when you created a list of what you have done so far.