If it's only been a few days, I'd let it go as she may be feeling extra needy because of the cold or something else even if she doesn't seem too off from it. If it's a longer term problem, I'd probably try to gradually wean her from needing to be held all the time. For when you're trying to make dinner, have you tried giving her "cooking things" to play with while you're cooking? Things like wooden spoons, measuring cups, tupperware containers, etc. are fun at that age. I went to the dollar store with my oldest and let her pick out her own cooking stuff when she was about that age, and then she was happy to "cook" alongside me. Or if you don't have one already, a toy kitchen is a great toy at that age (not necessarily inexpensive, but it's definitely something that will be played with over several years).
For the table, I'd do away with the high chair. Make a big deal about her being a big girl and she can sit in a big chair now all by herself. We loved the Cooshie booster - http://www.amazon.com/Baby-Smart-Cooshie-Booster-Seat/dp/... - which now comes in lots of fun colors so maybe let her help pick out her own special seat? If it's still difficult for her, try gradually increasing the amount of time she's expected to sit by herself before she can get on your lap. Start with her needing to eat maybe 3 bites in her own chair and after a few days challenge her to do 4 or 5 by herself (make it seem fun). Eventually she will do it.
My 4 year old has been sitting in her own chair since probably about 18 months (wanted to be like her older siblings), but there are still days where she wants to climb on my lap and eat with me. Since it's only occasionally we just let her do it, but if it started becoming a habit, I'd probably try to wean her of the habit. Good luck!