Can "please" be used with "kindly"?

Not in that instance

In which instance, please?

"Please kindly queue up" is redundant – either "please" or "kindly" will work effectively by itself.

Redundancies drive me nuts, like the following: "It's 10:a.m. in the morning." "Revert back." "Past experience." "Advance notice." "Forewarned." "End result."

Here's some more with the author's notes in parentheses:

absolutely necessary (absolutely is almost never necessary. It is an absolute. As far as “necessary”, something either is or it isn’t necessary.)
advance warning
actual facts (Facts are facts. It’s a fact or it isn’t.)
add an additional
I would like to add an order of fries.
I would like an additional order of fries. (As you can see, both sentences are the same.)
added bonus
already existing
alternative choice
and etc. (There is never a need to use “and” with etc.)
at the present time
basic fundamentals (Fundamentals are basic.)
brief moment
brief summary (A summary is brief.)
cancel out
Commute back and forth
completely eliminated (No need for “completely.”)
component parts
consensus of opinion
current trend
currently away (or unavailable) There is no need for “currently.”
I’m away from my desk.
I’m not available.
The worst are the double redundancies, like when you hear phone messages that say “I’m currently away from my desk right now.”

different kinds
drop down
during the course of
each and every (Use each or every but not both.)
I gave a dollar to each child.
I gave a dollar to every child.
emergency situation
end result (The result is the end.)
equal to one another
exact same
favorable approval
final conclusion
final outcome (same as end result)
first of all
First and foremost
foreign imports (I hope this one is obvious.)
former graduate
future plans
gather together
had done previously
introduced a new
join together
joint collaboration
lag behind
later time
I’ll get to that at a later time.
I’ll get to that later.
made out of
major breakthrough (A breakthrough is major.)
meet with each other
merge together
new beginning
new innovation
new invention
new recruit
number-one leader in (The leader is number one.)
never before
new invention
none at all
off of
past experience (Experience is in the past.)
past history (same as above)
Past memories
Past records
PIN number
period of time
personal opinion
pick and choose
please RSVP (RSVP means please respond.)
pouring down rain
Pre-board (as with an airplane)
Pre-record
present time
proposed plan
RAM memory
reason why
regular routine (A routine is regular.)
Safe haven
sit down or stand up
start off or out
sufficient enough
sum total
tuna fish
twelve noon or midnight
ultimate goal
undergraduate student (An undergraduate is a student.)
Unexpected emergency
Unexpected Surprise
Unintentional mistake
UPC code
Very pregnant
Very unique
Visible to the eye
wall mural
warn in advance or advance warning
write down

In the example you gave

Please kindly is redundant and sounds awful