Interleaving values from several iterables
First off, I think there is an error in the original code. The code produces afhbgicjdke instead of the expected afhbgic. I think the intention was to return instead of pass in the stop iteration block, the answer below work under this assumption.

Let's look at the for loop in the middle

for i in range(len(itrs)):
    try:
        yield next(itrs[i])
        temp.append(itrs[i])
    except StopIteration:
        return


No where in the body operate on the index, so every itrs[i] can be replaced with just i with a simpler for i in iters. This gives us

for i in itrs:
    try:
        yield next(i)
        temp.append(i)
    except StopIteration:
        return


Now lets look at the while body

while itrs != []:
    temp = []
    # ... the for loop that includes an append to itrs
    itrs = temp


This basically gives the code a way to exit when everything is finished. However, if you think about how the code works, the only time itrs has a lower length than args is when one of the itrs reaches StopIteration. In that case, we would have returned already!

So the while loop can become a while True loop and temp and it's usage can be ommited.

def skip(*args):
    itrs = [iter(arg) for arg in args]
    while True:
        for i in itrs:
            try:
                yield next(i)
            except StopIteration:
                return


Now we need to convince ourselves that the code will actually return at some point. This isn't too hard, as long as one of the iterable passed in is finite i.e. has an end, we will reach StopIteration at some point. And in the case that every iterable is infinite, the original code would run forever too. So we are good there.

But there is another problem. What if skip is called with no argument? This will result in us never returning from the function, since there is no iterable for us to trigger StopIteration! In the original code, this is dealt with implicitly through temp being empty. Since we don't have that anymore, we have to handle it explicitly.
This gives us the final code:

def skip(*args):
    if len(args) == 0:
        return
    itrs = [iter(arg) for arg in args]
    while True:
        for i in itrs:
            try:
                yield next(i)
            except StopIteration:
                return


With this

for i in skip('abcde','fg','hijk'):
    print(i,end='')


outputs afhbgic and

for i in skip():
    print(i,end='')


is a noop

As an aside, the indentation in the original code is inconsistent, which makes it un-runnable. Please be sure to post usable code next time