Connecting both WiFi and 433MHz Tx/Rx to one Arduino
Yes. You can connect any number of sensors in addition to a WiFi shield, subject to the obvious limitations of   

Available physical ports,
 power supply availability
 processing power
 Non interference of Wifi (usually 2.4 GHz) and 432 MHz equipment.

None of these are 'show stoppers". It's mainly a case of applying applied common sense.



Physical ports should be a non issue. The 432 MHz unit should require as little as one pin to communicate (eg half duplax async) and at worst should need no worse than something like TXD, RXD, enable, power/enable. 

Power supply availability from solar power is just a matter of design. If this transmits autonomously and/or "gets in touch" on a timed basis and does not have to receive on demand then standby power can be low. If it has to monitor a receiver then you will have to tradeoff receiver always on simplicity against receiver occasional wakeup and listen with lower power but more complex scheduling. This is standard  fare for this sort of application.

As a very very very rough indication


PV panel Wattage ~~= 12 x Average Wattage x days standby ability.


better


PV panel Wattage ~~= 24/Sunshine_hours* x Average Wattage x days standby ability.


Where sunshine_hours = equivalent full sunlight per day.
Where full sunlight = 1000 Watts/metre^2 



Sunshine hours can be established via the wonderful Gaisma website - this link is to the page for my home city Auckland.
 The 4th chart / table down shows sunshine hours by month. Fpr auckland

Insolation, kWh/m²/day    January  - December
 6.55   5.88    4.85    3.56    2.62    2.06    2.24    3.06    4.17    5.10 5.97   6.51

Best month is January with 6.55 hours and worst is June with 2.06 sunshine hours. Most sites world wide give about 2 hours worst case - which is why the first formula above use 24/sunshine_hours = 12. If you are in NYNY you will get less and if in eg Moscow Russia you get about 20 minutes/day in mid winter.
  Solar power is not recommended in Moscow Russia in mid winter.

To find your city's SSH (sunshine hours) use either Gaisma's serach or usually quicker use Gargoyle and enter just gaisma city_name and most cases it will be first hit.



Processing power should be find. Quickest of trials will show you what to expect. Worst case you can walk and chew gum sequentially rather than both together.



2.4 GHz and 432 MHz equipment can exist with ease at the same location with only the most rudimentary of precautions. You can get them to interfere badly if you try hard to do so.