I think it could look a little tacky if you try to make them look like real flowers - but if they are stylised paper flowers it could look ok iykwim?
Personally I'd rather carry one real flower than a bouquet of fake ones - but I'd happily not have flowers at all on the tables. I've been to weddings where they had just candles, another where they had little pot plants, another where they had bunches of heather and lavender from from the PIL's garden, another where they had branches cut from trees...
any of those appeal?
But at the end of the day it's your wedding - do whatever you feel comfortable with.