(A)sexual reproduction of plants
No, it's not. There are common plants that can only reproduce asexually.

It's likely you can buy produce from several plants which are unable to do so at your local supermarket. The most famous example is, of course, the banana which is a sterile mutant and all bananas of a particular variety are clones, but some seedless varieties of grapes and oranges would also count (although most seedless fruit you find in the supermarket are actually produced with hormonal treatments rather than being asexual varieties).

These plants are examples of artificial selection but there are also examples of plants that have lost the ability to sexually reproduce in the wild. The evening primrose is a good example, with some 30% of species in the genus Oenothera having evolved to be asexual (Hollister et al, 2015), but this is not the only example. It is likely that, just as in animal species, asexuality has short (on an evolutionary timescale) term advantages but results in lower fitness in the longer term.